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Grade 11 · Math · Algebra 2

11th grade Binomial probabilities worksheet

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Binomial probabilities

Grade 11 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

  1. Milo makes each free throw with chance 0.6, and the shots are independent. To the nearest thousandth, what is the chance of exactly 3 makes in 5 shots?

  2. Read this first

    Outcome list

    Each try is counted (0.3) or not (0.7). Dot plot: number line 0 to 6, tick every 1, one stack per count.

  3. Each day of a 6-day camp has a 0.3 chance of rain, on its own. To the nearest thousandth, what is the chance of exactly 2 rainy days for Noah?

  4. Each bulb from Pia's factory line passes the check with chance 0.9, on its own. To the nearest thousandth, what is the chance of exactly 6 of 8 bulbs passing?

  5. Outcome list: each try is counted (0.2) or not (0.8). Ren spins a spinner with 5 equal sections, one blue, 7 times. To the nearest thousandth, what is the chance of exactly 2 blue spins?

  6. Outcome list: each try is counted (0.25) or not (0.75). Zee guesses on 5 quiz questions, each right with chance 0.25. To the nearest thousandth, what is the chance of at least 1 right answer?

  7. each try is counted (0.1) or not (0.9). Each of Ari's 6 seeds fails to sprout with chance 0.1, on its own. To the nearest thousandth, what is the chance of at least 1 seed failing?

  8. Outcome list: each try is counted (0.2) or not (0.8). Each day of Bo's 3-day trip has a 0.2 chance of rain, on its own. To the nearest thousandth, what is the chance of at least 1 rainy day?

  9. Esme shoots 20 free throws, making each with chance 0.7. Where does the dot plot of the number of makes balance?

  10. Use this

    Dot plot of the binomial distribution for n = 400, p = 0.03: number line 0 to 400, tick every 50, stacks as tall as their chances.

  11. Kira studies a factory check of 400 bulbs; each fails with chance 0.03. Where does the dot plot of the number of failures balance?

  12. Luz plants 30 seeds, and each sprouts with chance 0.8. Where does the dot plot of the number of sprouts balance?

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11th grade Binomial probabilities worksheet – printable
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About this worksheet

Binomial probabilities. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can count the orders with exactly k successes and find the chance of one order.
  • I can use C(n, k) pᵏ(1 − p)ⁿ⁻ᵏ, and 1 − P(none) for "at least 1".
  • I can say whether a situation is binomial and where its dot plot balances.

Standard: no CCSS standard names it (S-CP.B.9 (+) and S-MD.B.7 (+) are nearest)

Words to know

binomial: A fixed number of tries, two outcomes, the same chance each try.

success: The outcome we count, even if it is a failure in the story.

C(n, k): The number of orders with exactly k successes in n tries.

independent: One try does not change the chance of another.

at least 1: Everything except none: 1 − P(none).

Common mistakes

Counted the successes as if their order mattered, so each order was counted more than once. Swap two alike letters together and see the order stay the same.

Counted every possible order instead of only those with the asked number of successes. List the orders together and circle the right ones.

Gave the success chance the power of the failures, and the other way round. Write one order out letter by letter together.

Questions parents ask

What is the most common mistake with binomial probabilities?

Counted the successes as if their order mattered, so each order was counted more than once. Swap two alike letters together and see the order stay the same.

Are these 11th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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