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:

Identify the event types

Using the Mutually Exclusive Events knowledge point
Since a single hit cannot be both a single and a double at the same time, hitting a single and hitting a double are mutually exclusive events.

Apply the addition rule

Using the Probability Addition Rule knowledge point

$$ P(\text{single or double}) = P(\text{single}) + P(\text{double}) $$

$$ P(\text{single or double}) = 15\% + 5\% = 20\% $$

Answer:

• 3 percent
• 10 percent
• 20 percent (Correct answer)
• 75 percent