Binomial probabilities
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?
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?
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?
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)?