Question

Events A and B are dependent. Find the missing probability.

Answer 1

Answer:

P(A and B) = 0.12

Step-by-step explanation:

Conditional Probability

Is a measure of the probability of the occurrence of an event, given that another event has already occurred. If event A has occurred, then the probability that event B occurs is given by:

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

Where $P(B\cap A)$ is the probability that both events occur and P(A) is the probability that A occurs.

We are given P(A)=0.6, P(B\mid A)=0.2, and it's required to find P(B\cap A). Solving for the required variable:

$P(B\cap A)=P(B\mid A)*P(A)$

$P(B\cap A)=0.2*0.6=0.12$

P(A and B) = 0.12