Binomial probabilities
Grade 11 Math Worksheet

Circle the best answer, or write your answer on the line.
Milo makes each free throw with chance 0.6, and the shots are independent. To the nearest thousandth, what is the chance of exactly 3 makes in 5 shots?
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Outcome list
Each try is counted (0.3) or not (0.7). Dot plot: number line 0 to 6, tick every 1, one stack per count.
Each day of a 6-day camp has a 0.3 chance of rain, on its own. To the nearest thousandth, what is the chance of exactly 2 rainy days for Noah?
Each bulb from Pia's factory line passes the check with chance 0.9, on its own. To the nearest thousandth, what is the chance of exactly 6 of 8 bulbs passing?
Outcome list: each try is counted (0.9) or not (0.1). Dot plot: number line 0 to 8, tick every 1, one stack per count. Outcome list: each try is counted (0.9) or not (0.1). Dot plot: number line 0 to 8, tick every 1, one stack per count. Outcome list: each try is counted (0.9) or not (0.1) 0 1 2 3 4 5 6 7 8 count Outcome list: each try is counted (0.2) or not (0.8). Ren spins a spinner with 5 equal sections, one blue, 7 times. To the nearest thousandth, what is the chance of exactly 2 blue spins?
Outcome list: each try is counted (0.2) or not (0.8). Dot plot: number line 0 to 7, tick every 1, one stack per count. Outcome list: each try is counted (0.2) or not (0.8). Dot plot: number line 0 to 7, tick every 1, one stack per count. Dot plot: number of counted tries 0 1 2 3 4 5 6 7 number Outcome list: each try is counted (0.25) or not (0.75). Zee guesses on 5 quiz questions, each right with chance 0.25. To the nearest thousandth, what is the chance of at least 1 right answer?
Outcome list: each try is counted (0.25) or not (0.75). Dot plot: number line 0 to 5, tick every 1, one stack per count. Outcome list: each try is counted (0.25) or not (0.75). Dot plot: number line 0 to 5, tick every 1, one stack per count. 0 1 2 3 4 5 each try is counted (0.1) or not (0.9). Each of Ari's 6 seeds fails to sprout with chance 0.1, on its own. To the nearest thousandth, what is the chance of at least 1 seed failing?
Outcome list: each try is counted (0.1) or not (0.9). Dot plot: number line 0 to 6, tick every 1, one stack per count. Outcome list: each try is counted (0.1) or not (0.9). Dot plot: number line 0 to 6, tick every 1, one stack per count. Outcome list 0 1 2 3 4 5 6 number counted Outcome list: each try is counted (0.2) or not (0.8). Each day of Bo's 3-day trip has a 0.2 chance of rain, on its own. To the nearest thousandth, what is the chance of at least 1 rainy day?
Outcome list: each try is counted (0.2) or not (0.8). Dot plot: number line 0 to 3, tick every 1, one stack per count. Outcome list: each try is counted (0.2) or not (0.8). Dot plot: number line 0 to 3, tick every 1, one stack per count. 0 1 2 3 number of rainy days Esme shoots 20 free throws, making each with chance 0.7. Where does the dot plot of the number of makes balance?
Dot plot of the binomial distribution for n = 20, p = 0.7: number line 0 to 20, tick every 1, stacks as tall as their chances. Dot plot of the binomial distribution for n = 20, p = 0.7: number line 0 to 20, tick every 1, stacks as tall as their chances. Binomial distribution: n = 20, p = 0.7 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Number of makes Use this
Dot plot of the binomial distribution for n = 400, p = 0.03: number line 0 to 400, tick every 50, stacks as tall as their chances.
Kira studies a factory check of 400 bulbs; each fails with chance 0.03. Where does the dot plot of the number of failures balance?
Luz plants 30 seeds, and each sprouts with chance 0.8. Where does the dot plot of the number of sprouts balance?
Dot plot of the binomial distribution for n = 30, p = 0.8: number line 0 to 30, tick every 5, stacks as tall as their chances. Dot plot of the binomial distribution for n = 30, p = 0.8: number line 0 to 30, tick every 5, stacks as tall as their chances. n = 30, p = 0.8 0 5 10 15 20 25 30 Number of sprouts