Probability of Single Events: Worksheets with Answers
Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. And best of all they all (well, most!) come with answers.
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| Worksheet Name | 1 | 2 | 3 |
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| Simple Probability |
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| Probability: basic | ||
| Probability: not happening | ||
| Probability: scale |
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Unit 7: Probability
About this unit.
Probability tells us how often some event will happen after many repeated trials. You've experienced probability when you've flipped a coin, rolled some dice, or looked at a weather forecast. Go deeper with your understanding of probability as you learn about theoretical, experimental, and compound probability, and investigate permutations, combinations, and more!
Basic theoretical probability
- Intro to theoretical probability (Opens a modal)
- Probability: the basics (Opens a modal)
- Simple probability: yellow marble (Opens a modal)
- Simple probability: non-blue marble (Opens a modal)
- Intuitive sense of probabilities (Opens a modal)
- The Monty Hall problem (Opens a modal)
- Simple probability Get 5 of 7 questions to level up!
- Comparing probabilities Get 5 of 7 questions to level up!
Probability using sample spaces
- Example: All the ways you can flip a coin (Opens a modal)
- Die rolling probability (Opens a modal)
- Subsets of sample spaces (Opens a modal)
- Subsets of sample spaces Get 3 of 4 questions to level up!
Basic set operations
- Intersection and union of sets (Opens a modal)
- Relative complement or difference between sets (Opens a modal)
- Universal set and absolute complement (Opens a modal)
- Subset, strict subset, and superset (Opens a modal)
- Bringing the set operations together (Opens a modal)
- Basic set notation Get 5 of 7 questions to level up!
Experimental probability
- Experimental probability (Opens a modal)
- Theoretical and experimental probabilities (Opens a modal)
- Making predictions with probability (Opens a modal)
- Simulation and randomness: Random digit tables (Opens a modal)
- Experimental probability Get 5 of 7 questions to level up!
- Making predictions with probability Get 5 of 7 questions to level up!
Randomness, probability, and simulation
- Experimental versus theoretical probability simulation (Opens a modal)
- Theoretical and experimental probability: Coin flips and die rolls (Opens a modal)
- Random number list to run experiment (Opens a modal)
- Random numbers for experimental probability (Opens a modal)
- Statistical significance of experiment (Opens a modal)
- Interpret results of simulations Get 3 of 4 questions to level up!
Addition rule
- Probability with Venn diagrams (Opens a modal)
- Addition rule for probability (Opens a modal)
- Addition rule for probability (basic) (Opens a modal)
- Adding probabilities Get 3 of 4 questions to level up!
- Two-way tables, Venn diagrams, and probability Get 3 of 4 questions to level up!
Multiplication rule for independent events
- Sample spaces for compound events (Opens a modal)
- Compound probability of independent events (Opens a modal)
- Probability of a compound event (Opens a modal)
- "At least one" probability with coin flipping (Opens a modal)
- Free-throw probability (Opens a modal)
- Three-pointer vs free-throw probability (Opens a modal)
- Probability without equally likely events (Opens a modal)
- Independent events example: test taking (Opens a modal)
- Die rolling probability with independent events (Opens a modal)
- Probabilities involving "at least one" success (Opens a modal)
- Sample spaces for compound events Get 3 of 4 questions to level up!
- Independent probability Get 3 of 4 questions to level up!
- Probabilities of compound events Get 3 of 4 questions to level up!
- Probability of "at least one" success Get 3 of 4 questions to level up!
Multiplication rule for dependent events
- Dependent probability introduction (Opens a modal)
- Dependent probability: coins (Opens a modal)
- Dependent probability example (Opens a modal)
- Independent & dependent probability (Opens a modal)
- The general multiplication rule (Opens a modal)
- Dependent probability (Opens a modal)
- Dependent probability Get 3 of 4 questions to level up!
Conditional probability and independence
- Calculating conditional probability (Opens a modal)
- Conditional probability explained visually (Opens a modal)
- Conditional probability using two-way tables (Opens a modal)
- Conditional probability tree diagram example (Opens a modal)
- Tree diagrams and conditional probability (Opens a modal)
- Conditional probability and independence (Opens a modal)
- Analyzing event probability for independence (Opens a modal)
- Calculate conditional probability Get 3 of 4 questions to level up!
- Dependent and independent events Get 3 of 4 questions to level up!
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Probability Worksheets
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Probability Worksheets
Navigate through this assortment of printable probability worksheets that includes exercises on basic probability based on more likely, less likely, equally likely, certain and impossible events, pdf worksheets based on identifying suitable events, simple spinner problems, for students in grade 4, grade 5, and grade 6. With the required introduction, the beginners get to further their knowledge with skills like probability on single coin, two coins, days in a week, months in a year, fair die, pair of dice, deck of cards, numbers and more. Mutually exclusive and inclusive events, probability on odds and other challenging probability worksheets are useful for grade 7, grade 8, and high school. Grab some of these probability worksheets for free!
Probability on Coins
Simple probability worksheets based on tossing single coin or two coins. Identify the proper sample space before finding probability.
Probability in a single coin toss
Probability in pair of coin - 1
Probability in pair of coin - 2
Probability on Days and Months
Fun filled worksheet pdfs based on days in a week and months in a year. Sample space is easy to find but care is required in identifying like events.
Days of a week
Months of a year - 1
Months of a year - 2
Probability on Fair Die
Fair die is numbered from 1 to 6. Understand the multiples, divisors and factors and apply it on these probability worksheets.
Simple numbers
Multiples and divisors
Mutually exclusive and inclusive
Probability on Pair of Dice
Sample space is little large which contains 36 elements. Write all of them in papers before start answering on probability questions for grade 7 and grade 8.
Based on numbers
Based on sum and difference
Based on multiples and divisors
Based on factors
Probability on Numbers
Students should learn the concepts of multiples, divisors and factors before start practicing these printable worksheets.
Probability on numbers - 1
Probability on numbers - 2
Probability on numbers - 3
Probability on numbers - 4
Probability on numbers - 5
Probability on Deck of Cards
Deck of cards contain 52 cards, 26 are black, 26 are red, four different flowers, each flower contain 13 cards such as A, 1, 2, ..., 10, J, Q, K.
Deck of cards worksheet - 1
Deck of cards worksheet - 2
Deck of cards worksheet - 3
Probability on Spinners
Interactive worksheets for 4th grade and 5th grade kids to understand the probability using spinners. Colorful spinners are included for more fun.
Spinner worksheets on numbers
Spinner worksheets on colors
Probability on Odds
Probability on odds worksheets can be broadly classifieds as favorable to the events or against the events.
Odds worksheet - 1
Odds worksheet - 2
Odds worksheet - 3
Probability on Independent and Dependent
Here comes our challenging probability worksheets set for 8th grade and high school students based on dependent and independent events with various real-life applications.
Based on deck of cards
Based on marbles
Based on cards
Probability on Different Events
Basic probability worksheets for beginners in 6th grade and 7th grade to understand the different type of events such as more likely, less likely, equally likely and so on.
Balls in container
Identify suitable events
Mutually inclusive and exclusive events
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the even number
three boys
both of the pulled out balls are white
get the sum of the fallen numbers exactly 9 ?
at least once
the second prize (we guessed 5 numbers correctly)
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Probability Practice Problems1. on a six-sided die, each side has a number between 1 and 6. what is the probability of throwing a 3 or a 4, 2. three coins are tossed up in the air, one at a time. what is the probability that two of them will land heads up and one will land tails up, 3. a two-digit number is chosen at random. what is the probability that the chosen number is a multiple of 7, 4. a bag contains 14 blue, 6 red, 12 green, and 8 purple buttons. 25 buttons are removed from the bag randomly. how many of the removed buttons were red if the chance of drawing a red button from the bag is now 1/3, 5. there are 6 blue marbles, 3 red marbles, and 5 yellow marbles in a bag. what is the probability of selecting a blue or red marble on the first draw, 6. using a six-sided die, carlin has rolled a six on each of 4 successive tosses. what is the probability of carlin rolling a six on the next toss, 7. a regular deck of cards has 52 cards. assuming that you do not replace the card you had drawn before the next draw, what is the probability of drawing three aces in a row.
8. An MP3 player is set to play songs at random from the fifteen songs it contains in memory. Any song can be played at any time, even if it is repeated. There are 5 songs by Band A, 3 songs by Band B, 2 by Band C, and 5 by Band D. If the player has just played two songs in a row by Band D, what is the probability that the next song will also be by Band D?
9. Referring again to the MP3 player described in Question 8, what is the probability that the next two songs will both be by Band B?10. if a bag of balloons consists of 47 white balloons, 5 yellow balloons, and 10 black balloons, what is the approximate likelihood that a balloon chosen randomly from the bag will be black, 11. in a lottery game, there are 2 winners for every 100 tickets sold on average. if a man buys 10 tickets, what is the probability that he is a winner, answers and explanations. 1. B: On a six-sided die, the probability of throwing any number is 1 in 6. The probability of throwing a 3 or a 4 is double that, or 2 in 6. This can be simplified by dividing both 2 and 6 by 2. Therefore, the probability of throwing either a 3 or 4 is 1 in 3. 2. D: Shown below is the sample space of possible outcomes for tossing three coins, one at a time. Since there is a possibility of two outcomes (heads or tails) for each coin, there is a total of 2*2*2=8 possible outcomes for the three coins altogether. Note that H represents heads and T represents tails: HHH HHT HTT HTH TTT TTH THT THH Notice that out of the 8 possible outcomes, only 3 of them (HHT, HTH, and THH) meet the desired condition that two coins land heads up and one coin lands tails up. Probability, by definition, is the number of desired outcomes divided by the number of possible outcomes. Therefore, the probability of two heads and one tail is 3/8, Choice D. 3. E: There are 90 two-digit numbers (all integers from 10 to 99). Of those, there are 13 multiples of 7: 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98. 4. B: Add the 14 blue, 6 red, 12 green, and 8 purple buttons to get a total of 40 buttons. If 25 buttons are removed, there are 15 buttons remaining in the bag. If the chance of drawing a red button is now 1/3, then 5 of the 15 buttons remaining must be red. The original total of red buttons was 6. So, one red button was removed. 5. D: Use this ratio for probability: Probability = Number of Desired Outcomes Number of Possible Outcomes There are 6 blue marbles and 3 red marbles for a total of 9 desired outcomes. Add the total number of marbles to get the total number of possible outcomes, 14. The probability that a red or blue marble will be selected is 9/14. 6. C: The outcomes of previous rolls do not affect the outcomes of future rolls. There is one desired outcome and six possible outcomes. The probability of rolling a six on the fifth roll is 1/6, the same as the probability of rolling a six on any given individual roll. 7. D: The probability of getting three aces in a row is the product of the probabilities for each draw. For the first ace, that is 4 in 52 or 1 in 13; for the second, it is 3 in 51 or 1 in 27; and for the third, it is 2 in 50 or 1 in 25. So the overall probability, P , is P=1/13*1/17*1/25=1/5,525 8. B: The probability of playing a song by a particular band is proportional to the number of songs by that band divided by the total number of songs, or 5/15=1/3 for B and D. The probability of playing any particular song is not affected by what has been played previously, since the choice is random and songs may be repeated. 9. A: Since 3 of the 15 songs are by Band B, the probability that any one song will be by that band is 3/15=1/5. The probability that the next two songs are by Band B is equal to the product of two probabilities, where each probability is that the next song is by Band B: 1/5*1/5=1/25 The same probability of 1/5 may be multiplied twice because whether or not the first song is by Band B has no impact on whether the second song is by Band B. They are independent events. 10. B: First, calculate the total number of balloons in the bag: 47 + 5 + 10 = 62. Ten of these are black, so divide this number by 62. Then, multiply by 100 to express the probability as a percentage: 10 / 62 = 0.16 0.16 100 = 16% 11. C: First, simplify the winning rate. If there are 2 winners for every 100 tickets, there is 1 winner for every 50 tickets sold. This can be expressed as a probability of 1/50 or 0.02. In order to account for the (unlikely) scenarios of more than a single winning ticket, calculate the probability that none of the tickets win and then subtract that from 1. There is a probability of 49/50 that a given ticket will not win. For all ten to lose that would be (49/50)^(10) ≈ 0.817. Therefore, the probability that at least one ticket wins is 1 − 0.817 = 0.183 or about 18.3% Probability Worksheets
 All About MathsBasic probability (8300 - foundation - probability).
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 GCSE Biology Maths Skill - 1.1 Units and MagnificationSubject: Biology Age range: 14-16 Resource type: Worksheet/Activity  Last updated 14 August 2024
This resource covers a key maths skill for GCSE Biology. The skill covered is Units and Magnification which is needed in topic 1.1 Cell Structure. Included: Maths skills summary checklist Information page explaining the maths skill Worksheet of questions Answer sheet This resource can be printed as a double sided A4 sheet perfect for in class activity or a homework. Recommended for year 9/10 to learn the skill during the topic or for year 11 as recap of skills as exam preparation. Skill is required for AQA GCSE Biology and Combined Science. Skill is also applicable in other exam boards such as Edexcel and OCR. There is a bundle containing all Maths skills here: https://www.tes.com/teaching-resource/gcse-biology-maths-skills-bundle-13097376 All individual Biology Maths skills for GCSE Biology can be found below: 1.1 Units and Magnification (THIS RESOURCE) 1.2 Surface area to Volume ratio ( https://www.tes.com/teaching-resource/resource-13095483 ) 2 Cell Cycle Length ( https://www.tes.com/teaching-resource/resource-13095504 ) 3 Rate of Reaction ( https://www.tes.com/teaching-resource/resource-13095518 ) 4 Orders of Magnitude ( https://www.tes.com/teaching-resource/resource-13095600 ) 5 Bacterial Populations ( https://www.tes.com/teaching-resource/resource-13096655 ) 6 Percentage Change ( https://www.tes.com/teaching-resource/resource-13096328 ) 7 Significant Figures and Decimal Places ( https://www.tes.com/teaching-resource/resource-13096659 ) 8 Inverse Square Law ( https://www.tes.com/teaching-resource/-13096666 ) 9 Averages ( https://www.tes.com/teaching-resource/-13096677 ) 10 Tables ( https://www.tes.com/teaching-resource/-13096679 ) 11 Standard Form ( https://www.tes.com/teaching-resource/-13096684 ) 12 Ratio, Percentage, Probability, Fraction ( https://www.tes.com/teaching-resource/-13096687 ) 13 Punnett Squares ( https://www.tes.com/teaching-resource/resource-13096690 ) 14 Frequency Density ( https://www.tes.com/teaching-resource/-13097336 ) 15 Areas of Shapes ( https://www.tes.com/teaching-resource/-13097337 ) 16 Population size ( https://www.tes.com/teaching-resource/-13097342 ) 17 Equations and Symbols ( https://www.tes.com/teaching-resource/-13097349 ) 18 Biomass Transfers ( https://www.tes.com/teaching-resource/-13097355 ) Tes paid licence How can I reuse this? Get this resource as part of a bundle and save up to 37%A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place. GCSE Biology Maths Skills BundleThis bundle contains 19 worksheets for all key maths skill for GCSE Biology. Included for each skill is: Information page explaining the maths skill Worksheet of questions Answer sheet Each resource can be printed as a double sided A4 sheet perfect for in class activity or a homework. Skills are required for AQA GCSE Biology and Combined Science. Skills are also applicable in other exam boards such as Edexcel and OCR. Skills included: 1.1 Units and Magnification 1.2 Surface area to Volume ratio 2 Cell Cycle Length 3 Rate of Reaction 4 Orders of Magnitude 5 Bacterial Populations 6 Percentage Change 7 Significant Figures and Decimal Places 8 Inverse Square Law 9 Averages 10 Tables 11 Standard Form 12 Ratio, Percentage, Probability, Fraction 13 Punnett Squares 14 Frequency Density 15 Areas of Shapes 16 Population size 17 Equations and Symbols 18 Biomass Transfers Your rating is required to reflect your happiness. It's good to leave some feedback. Something went wrong, please try again later. This resource hasn't been reviewed yet To ensure quality for our reviews, only customers who have purchased this resource can review it Report this resource to let us know if it violates our terms and conditions. Our customer service team will review your report and will be in touch. Not quite what you were looking for? Search by keyword to find the right resource: |
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A worksheet (with solutions) that contains straight-forward probability questions on a number of different themes. Aimed at upper-primary or lower-secondary students, I usually use this sheet as one of my standard off-the-shelf homework tasks. 👍If you like this resource, then please rate it and/or leave a comment💬.
Probability Worksheets. Subject: Mathematics. Age range: 11-14. Resource type: Lesson (complete) I provide comprehensive worksheets to revise a particular topic (always with answers included) as well as extension materials, for pupils ranging from age about 11 to 16+. All of my premium resources have a UK and US version.
Probability Lesson (Input and Worksheets KS2/KS3) Good activities for starting probability. Three differentiated worksheets: LA is lower ability, MA is middle, HA is higher. The more stars at the top, the harder the sheet. There is a challenge and a super challenge for children who finish quickly. Trim/mix the questions as desired.
Probability of Single Events: Worksheets with Answers Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you.
Probability tells us how often some event will happen after many repeated trials. You've experienced probability when you've flipped a coin, rolled some dice, or looked at a weather forecast. Go deeper with your understanding of probability as you learn about theoretical, experimental, and compound probability, and investigate permutations, combinations, and more!
Probability- Free maths worksheets and other resources One of my favourite maths topics to teach, probability allows for a lot of experiments, hands-on games and discussions. A selection of probability worksheets and activities.
The Corbettmaths Textbook Exercise on Probability
Dynamically Created Probability Worksheets These dynamically created Probability Worksheets are great for learning and practicing the concept of probability. These Probability Worksheets are ideal for 4th Grade, 5th Grade, 6th Grade, and 7th Grade students.
Probability Worksheets. These printable math worksheets will help students learn about probability of random events. Use the pictures of the spinners to determine the probability of outcomes for events on this free printable. Students determine the probability of drawing certain marbles at random from a bag with this free worksheet.
The Corbettmaths Practice Questions on Probability
Basic probability worksheets for beginners in 6th grade and 7th grade to understand the different type of events such as more likely, less likely, equally likely and so on. Free probability worksheets for kids include odds, spinner problems, coins, deck of cards, dependent, independent, mutually exclusive and inclusive events.
Exercise 5.E. 8 5. E. 8: Probability. In a town of 10,000 people, 400 have beards (all men), 4000 are adult men, and 5 of the townspeople are murderers. All 5 murderers are men and 4 of the murderers have beards. Suppose you go to this town and select a towns person at random. Let A be the event that the person turns out to be one of the five ...
These probability worksheets feature two activities for learning about chance and uncertainty. Students are asked to arrange statements on the probability line before creating their own statements to match.
Probability exercises & probability word problems. What is the probability of throwing one dice and getting the number greater than 4? Math-Exercises.com.
Learn the basics of probability theory with practice problems and explanations. Test your skills and prepare for exams with this free online resource.
Free Probability worksheets and free Probability distance learning. Printable or online. 100% free math worksheets! Kindergarten, 1st Grade, 2nd Grade, 3rd Grade, 4th Grade, 5th Grade and more!
Probability homework or revision resource. This resource is accompanied by an answer document. It is aimed at students who have been taught probability and relative frequency. The questions include a wide range of contexts (with Venn diagrams, pie charts and various other diagrams requiring correct interpretation to derive relative frequency ...
Calculate the probability of independent and dependent combined events, including using tree diagrams and other representations, and know the underlying assumptions. know when to add and when to multiply two or more probabilities. P9. Calculate and interpret conditional probabilities through representation using expected frequencies with two ...
P1. Record, describe and analyse the frequency of outcomes of probability experiments using tables and frequency trees. probabilities should be written as fractions, decimals or percentages. P4. Apply the property that the probabilities of an exhaustive set of outcomes sum to one. Apply the property that the probabilities of an exhaustive set ...
KS3: Probability Homework Subject: Mathematics Age range: 11-14 Resource type: Worksheet/Activity File previews docx, 15.72 KB docx, 17.4 KB docx, 16.65 KB Experimental, Venn Diagrams and Whether Research Homework Creative Commons "Sharealike"
This course introduces the basic notions of probability theory and de-velops them to the stage where one can begin to use probabilistic ideas in statistical inference and modelling, and the study of stochastic processes. Probability axioms. Conditional probability and indepen-dence. Discrete random variables and their distributions. Continuous distributions. Joint distributions. Independence ...
I have used this booklet extremely effectively with students in Y9, Y10 and Y11. It contains the most typical questions that are seen in GCSE exams. There are eight 'standard' probability trees for the students to complete and answer questions on, the requirements of each tree gradually getting more complex. Replacement and non-replacement scenarios are included. Note that the trees in ...
This resource is accompanied by an answer document. It is aimed at students who have been taught probability and relative frequency. The questions include a wide ran
GCSE Biology Maths Skills Bundle. This bundle contains 19 worksheets for all key maths skill for GCSE Biology. Included for each skill is: Information page explaining the maths skill Worksheet of questions Answer sheet Each resource can be printed as a double sided A4 sheet perfect for in class activity or a homework.