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 relevant probabilities

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

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 $P(\text{single or double})$ is given by $P(\text{single or double})=P(\text{single})+P(\text{double})$.
$P(\text{single or double})=0.15 + 0.05=0.20$ or $20\%$.

Answer:

C. 20 percent