11-Probability-Conditional Probability

Conditional Probability

Multiple Choice

A basketball has a 0.61 probability of getting in the hoop. It has a 0.43 probability of getting in the hoop twice in a row.

What is the probability that the basketball will go in the hoop the second time given that it went in the first time?

• 0.70

• 0.54

• 0.98

• 0.25

Multiple Choice

$$P\left(A\right)=0.23$$ , $$P\left(A\cap B\right)=0.03$$ and $$P\left(B\right)=0.36$$ . Are P(A) and P(B) independent events?

• No

• Yes

• Not sure.