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Grade 11 · Math · Algebra 2

11th grade Probability using permutations and combinations worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Probability using permutations and combinations

Grade 11 Math Worksheet - Building Confidence

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

  1. AE, AR, AS, AT, ER, ES, ET, RS, RT, ST. Luz draws 2 of the 5 letter tiles A, E, R, S and T from a bag at random, without putting the first back. What is the chance both tiles are vowels, in simplest form?

  2. MO, MP, MC, MT, OP, OC, OT, PC, PT, CT. Noah draws 2 of 5 topping slips, M, O, P, C and T, from a bag at random, without putting the first back. What is the chance C (corn) is one of them?

  3. PL, PA, PN, PE, PT, LA, LN, LE, LT, AN, AE, AT, NE, NT, ET. Ren draws 2 of the 6 letter tiles P, L, A, N, E and T from a bag at random, without putting the first back. What is the chance neither tile is a vowel?

  4. Tala draws all 4 name slips of a relay team from a hat at random, without putting any back, to set the running order. What is the chance the order is alphabetical, in simplest form?

  5. Zee's new locker code is 3 different digits from 1 to 5, set at random. What is the chance a friend guesses it on the first try, in simplest form?

  6. Bo's bike lock code is 2 different letters from A to F, in order, set at random. What is the chance one guess opens it, in simplest form?

  7. Esme puts 5 different books on a shelf in a random order. What is the chance they end up in order of height, shortest first, in simplest form?

  8. Jun's teacher picks 2 of 6 songs at random for the warm-up. What is the chance the 2 picks are the 2 newest songs, in simplest form?

  9. Kira's class of 7 picks 2 students at random to water the plants. What is the chance the 2 who sit by the window are picked, in simplest form?

  10. Luz chooses 3 of 6 books at random for a reading box. What is the chance the 3 chosen are the 3 poetry books, in simplest form?

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11th grade Probability using permutations and combinations worksheet – printable
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About this worksheet

Probability with permutations and combinations. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find a chance as the rows that count ÷ all the rows, counting both with order or both without.
  • I can use C(n, r) for committees and groups, and P(n, r) for codes and lineups.
  • I can find "exactly", "at least one" and "one of each" chances with counts.

Standard: S-CP.B.9 (+)

Words to know

equally likely: Every row of the list has the same chance.

at random: Picked so that every outcome is equally likely.

complement: Everything that is not the event; its chance is 1 minus the chance.

at least one: One or more; easiest as 1 minus the chance of none.

without putting back: A picked thing stays out, so the list shrinks.

Common mistakes

Counted the bottom of the chance with order but the top without it.

Found the chance that the event does not happen. Read the question again together and circle the outcomes it asks for.

Divided by the outcomes that don't count instead of by all outcomes.

What to say

Ask: does AB count as a different outcome from BA here? Then count both the same way.

Ask: how many outcomes are there in all?

Questions parents ask

What is the most common mistake with probability using permutations and combinations?

Counted the bottom of the chance with order but the top without it.

How can I help my child with probability using permutations and combinations?

Ask: does AB count as a different outcome from BA here? Then count both the same way.

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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