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?
8 places in a row, each one of two letters. Dot plot: number line 0 to 8, tick every 1. Pia spins a spinner 8 times, and each spin is blue (B) or not blue (N). How many different orders have exactly 2 blue spins?
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 sprout (0.8) or fail (0.2). Each of Zee's seeds sprouts with chance 0.8, on its own. What is the chance of exactly this order: sprout, sprout, sprout, fail?
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?
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)?

Binomial probabilities

Answer Key - Grade 11 Math Worksheet - Building Confidence

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?
21
8 places in a row, each one of two letters. Dot plot: number line 0 to 8, tick every 1. Pia spins a spinner 8 times, and each spin is blue (B) or not blue (N). How many different orders have exactly 2 blue spins?
28
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?
15
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?
0.147
Each try is sprout (0.8) or fail (0.2). Each of Zee's seeds sprouts with chance 0.8, on its own. What is the chance of exactly this order: sprout, sprout, sprout, fail?
0.1024
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?
0.140625
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)?
0.441
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)?
0.4096
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)?
0.2916
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)?
0.2304