Question

In Littletown, the probability that a baseball team goes to the city playoffs is

Answer 1

Answer:

C. 0.10

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Goes to the city playoffs

Event B: Goes to the state playoffs.

In Littletown, the probability that a baseball team goes to the city playoffs is 0.20.

This means that $P(A) = 0.2$

The probability that the team goes to the state playoffs given that the team goes to the city playoffs is 0.50.

This means that $P(B|A) = 0.5$

What is the probability that a randomly selected team from Littletown goes to the city and state playoffs?

This is $P(A \cap B)$. So

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

$P(A \cap B) = P(A)*P(B|A) = 0.2*0.5 = 0.1$

The correct answer is given by option C.