Question

Houston Astros’ first batter reaches base safely 40% of the time (event A). If he reaches base safely, there is a 40% chance that his team will score that inning. If he doesn’t reach base safely, then there is a 25% chance his steam scores that inning. Let B bet the event that the team scores in the inning. (Hint: fill in the tree diagram)
Define events as follows:

A: Reaches base safely, A^c: Does not reach base safely
B: Team scores, B^c: Team does not score

What is the probability that the team scores in the inning?

	a.	0.40
	b.	0.31
	c.	0.25
	d.	0.16

Answer 1

TOPIC:Theorem of total probability.