Question

Julia enjoys shooting paper balls into the wastebasket across her office. She misses the first shot 50% of the time. When she misses on the first shot, she misses the second shot 20% of the time.
Part B: What is the probability of making at least one successful throw? (5 points)

Answer 1

Answer:

The probability that Julia makes at least one successful throw is 90%

Step-by-step explanation:

1. Let's review the information provided to us to help Julia to answer the question correctly:

Probability that Julia misses the first shot = 50%

Probability that Julia makes the first shot = 50%

When she misses on the first shot, she misses the second shot 20% of the time. Therefore after missing the first shot, she makes the second shot 80% of the time.

Probability that Julia misses both shots = 50% * 20% = 0.5 * 0.2 = 0.1 = 10%

2. What is the probability of making at least one successful throw?

Probability of making at least one successful throw = 1 - (Probability that Julia misses both shots)

Probability of making at least one successful throw = 100% - 10%

The probability that Julia makes at least one successful throw is 90%