Grade 11 · Math · Algebra 2

11th grade Binomial probabilities worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Binomial probabilities

Grade 11 Math Worksheet - Building Confidence

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

7 places in a row, each one of two letters. Dot plot: number line 0 to 7, tick every 1. Luz shoots 7 free throws, and each is a make (M) or a miss (X). How many different orders have exactly 2 makes?
5 places in a row, each one of two letters. Dot plot: number line 0 to 5, tick every 1. Milo plants 5 seeds in a row, and each sprouts (S) or does not (N). How many different orders have exactly 2 seeds sprouting?
6 places in a row, each one of two letters. Dot plot: number line 0 to 6, tick every 1. Ren tests 6 bulbs, and each passes (P) or fails (F). How many different orders have exactly 2 failures?
Each try is make (0.7) or miss (0.3). Tala makes each free throw with chance 0.7, and the shots are independent. What is the chance of exactly this order: make, make, miss?
Each try is right (0.25) or wrong (0.75). Ari guesses on a quiz, and each guess is right with chance 0.25. What is the chance of exactly this order: right, wrong, wrong?
Each try is hit (0.6) or miss (0.4). Each of Bo's bean-bag throws lands in the basket with chance 0.6, on its own. What is the chance of exactly this order: hit, miss, hit, hit?
Esme shoots 3 free throws, making each with chance 0.7. Exactly 2 makes can happen in 3 orders, each with chance 0.7² × 0.3. What is P(exactly 2)?
Each of Jun's 4 seeds sprouts with chance 0.8, on its own. Exactly 3 sprouts can happen in 4 orders, each with chance 0.8³ × 0.2. What is P(exactly 3)?
Outcome list: each try is counted (0.1) or not (0.9). Kira checks 4 phone cases; each has a scratch with chance 0.1. Exactly 1 scratched case can happen in 4 orders, each with chance 0.1 × 0.9³. What is P(exactly 1)?
Luz plays 5 rounds of a class quiz game, winning each with chance 0.6. Exactly 2 wins can happen in 10 orders, each with chance 0.6² × 0.4³. What is P(exactly 2)?

11th grade Binomial probabilities worksheet – printable — Print: 1 2 3 4 5 6

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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