Binomial probabilities

Answer Key - Grade 11 Math Worksheet

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

1. 1.

   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?

   0.346

2. Read this first

   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.

3. 2.

   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?

   0.324
4. 3.

   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?

   0.149
5. 4.

   Outcome list: each try is counted (0.3) or not (0.7). Tala makes each free throw with chance 0.3 and shoots 4. To the nearest thousandth, what is the chance of at least 1 make?

   0.76
6. 5.

   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?

   0.763
7. 6.

   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?

   0.469
8. 7.

   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?

   0.488
9. 8.

   Esme shoots 20 free throws, making each with chance 0.7. Where does the dot plot of the number of makes balance?

   14
10. 9.

    Jun guesses on all 50 questions of a practice quiz, each right with chance 0.25. Where does the dot plot of the number of right answers balance?

    12.5
11. 10.

    Luz plants 30 seeds, and each sprouts with chance 0.8. Where does the dot plot of the number of sprouts balance?

    24