PencilGo

Grade 11 · Math · Algebra 2

11th grade Binomial probabilities worksheet

6 printable versionsChallenge Me10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version
Print

Binomial probabilities

Grade 11 Math Worksheet - Challenge Me

NameDate

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

  1. Milo makes each free throw with chance 0.6 and shoots 5. To the nearest thousandth, what is the chance of at least 4 makes?

  2. Each of Ren's 8 bulbs passes the check with chance 0.9, on its own. To the nearest thousandth, what is the chance of at least 7 bulbs passing?

  3. A binomial count needs a fixed number of tries, two outcomes, and the same chance each time. Which situation of Tala's fits a binomial distribution?

    • Tala shoots 10 free throws, each made with chance 0.7; X counts the makes
    • Tala picks 3 cards at random from 10 cards, 4 red, without putting any back; X counts the red cards
    • Tala rolls a fair number cube once; X is the number it shows
    • Tala tosses a fair coin until it lands heads; X counts the tosses

  4. A binomial count needs a fixed number of tries, two outcomes, and the same chance each time. Which situation of Zee's fits a binomial distribution?

    • Zee guesses on 8 quiz questions, each with 4 choices; X counts the right guesses
    • Zee spins a spinner until it lands on red; X counts the spins
    • Zee measures the heights of 8 plants; X is the tallest height
    • Zee takes 2 pens at random from a cup of 6, 2 blue, without putting them back; X counts the blue pens

  5. A binomial count needs a fixed number of tries, two outcomes, and the same chance each time. Which situation of Bo's fits a binomial distribution?

    • Bo picks 4 names at random from a list of 12, 5 from one class, with no name picked twice; X counts that class's names
    • Bo counts the leaves on one plant; X is that count
    • Bo plants 12 seeds, each sprouting with chance 0.8 on its own; X counts the sprouts
    • Bo plants seeds one by one until one sprouts; X counts the seeds planted

  6. A binomial count needs a fixed number of tries, two outcomes, and the same chance each time. Which situation of Esme's fits a binomial distribution?

    • Esme tosses a fair coin 20 times; X counts the heads
    • Esme picks 5 cubes at random from a bag of 10, 3 green, without putting any back; X counts the green cubes
    • Esme times one walk to school; X is the minutes
    • Esme tosses a fair coin until 2 heads in a row land; X counts the tosses

  7. Each try is counted (0.3) or not (0.7). Jun makes each free throw with chance 0.3. What is the fewest shots for a chance of at least 0.9 of getting at least 1 make?

  8. Each try is counted (0.2) or not (0.8). Each seed in Kira's old seed packet sprouts with chance 0.2. What is the fewest seeds for a chance of at least 0.95 of getting at least 1 sprout?

  9. Each try is counted (0.1) or not (0.9). Each of Luz's long bean-bag throws lands in the basket with chance 0.1. What is the fewest throws for a chance of at least 0.5 of getting at least 1 hit?

  10. Each try is counted (0.4) or not (0.6). Each of Milo's paper airplanes lands in the hoop with chance 0.4. What is the fewest throws for a chance of at least 0.99 of getting at least 1 landing?

PencilGopencilgo.com

11th grade Binomial probabilities worksheet – printable
Print: 123456

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.

More algebra 2

See all Algebra 2

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records

Ready for easier practice?

Print a sheet, scan it when it’s done, and PencilGo picks the next one.

Create a free account