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? 75 percent 20 percent 3 percent 10 percent

Explanation:

Step1: Identify probabilities

The probability of hitting a single $P(S)=15\% = 0.15$, and the probability of hitting a double $P(D)=5\%= 0.05$.

Step2: Use addition rule for mutually - exclusive events

Since hitting a single and hitting a double are mutually - exclusive events (a player can't hit a single and a double at the same time), the probability of hitting a single or a double $P(S\cup D)=P(S)+P(D)$.
$P(S\cup D)=0.15 + 0.05=0.20$ or $20\%$.

Answer:

20 percent