Question

A baseball player gets a hit 40% of the time if the weather is nice but only 20% of the time if it is cold or windy. The weather forecast shows a 70% chance of being nice, 20% chance of being cold, and 10% chance of being windy. What is the probability that the baseball player will get a hit?

Answer 1

34%.

Explanation:

Chance he gets a hit of the weather is nice = 0.40 * 0.70 = 0.28.

or if its windy the chance he gets hit is 0.10 * 0.20 = 0.02.

Chance its cold and he gets a hit = 0.2 * 0.2 = 0.04,

So the chance he gets a hit = 0.28 + 0.02 + 0.04

= 0.34 = 34%.