Question

The probability a randomly selected court case in a court system is filed in family court is 0.05. The probability a randomly selected court case being filed is a criminal case is 0.75. Assume the case being filed in family court is mutually exclusive of the case being filed as a criminal case.

What is the probability a randomly selected court case is filed in family court and it is a criminal case?

Group of answer choices

0.038

0.4

0.763

0

0.8

Next

Answer 1

the probability that a randomly selected court case is filed in family court and it is a criminal case be:  = 0.

[ as the two events are mutually exclusive.]

[ INTERPRETATION:-

A : court case in a court system is filed in family court

B : court case being filed is a criminal case.

P(A) = 0.05

P(B) = 0.75

we are assuming the case being filed in family court is mutually exclusive of the case being filed as a criminal case.That is, A and B are mutually exclusive events.

if two events A and B are mutually exclusive then,

]

***in case of doubt, comment below. And if u liked the solution, please like.