Question

Find the indicated probability by using the general addition rule. For a person selected randomly from a certain​ population, events A and B are defined as follows. Aequalsevent the person is male Bequalsevent the person is a smoker For this particular​ population, it is found that Upper P (Upper A )equals 0.48 comma Upper P (Upper B )equals 0.23 comma and Upper P (Upper A & Upper B )equals 0.12 . Find Upper P (Upper A or Upper B ).

Answer 1

Upper P (Upper A or Upper B ) = 0.59

Explanation:

We have that:

`P(A) = 0.48`

`P(B) = 0.23`

`P(A \cap B) = 0.12`

The question asks:

`P(A \cup B)`

According to the set theory, it is

`P(A \cup B) = P(A) + P(B) - P(A \cap B)`

Then

`P(A \cup B) = 0.48 + 0.23 - 0.12 = 0.59`