Question

when a softball player gets a hit, it can be a single, double, triple, or home run. when josephine is at bat, the probability that she hits a single is 15 percent and the probability that she hits a double is 5 percent. what is the probability that josephine hits a single or a double when she is at bat? 3 percent 10 percent 20 percent 75 percent

Explanation:

Step1: Identify Event Types

The events of hitting a single and hitting a double are mutually exclusive (a hit can't be both a single and a double at the same time). For mutually exclusive events \( A \) and \( B \), the probability of \( A \) or \( B \) is \( P(A \cup B) = P(A) + P(B) \).

Step2: Apply Probability Formula

Let \( A \) be the event of hitting a single (\( P(A) = 15\% = 0.15 \)) and \( B \) be the event of hitting a double (\( P(B) = 5\% = 0.05 \)). Then:

$$ P(A \cup B) = P(A) + P(B) = 0.15 + 0.05 = 0.20 = 20\% $$

Answer:

20 percent