Question

PCA) = 1/3 P(В) = 2/9 PIAUB) = 4/9 Find P(An B). 1 1/9 ОООО 20/18 О 1/3

Answer 1

Remember the following formula :

P(AUB) = P(A)+P(B)-P(AnB)

According to the data of the problem and applying the previous equation, we obtain the following equality:

`(4)/(9)=(1)/(3)+(2)/(9)-\text{ P(A n B)}`

This is equivalent to:

`(4)/(9)=(5)/(9)-\text{ P(A n B)}`

solving for P(A n B), we get:

`\text{ P(A n B )= }(5)/(9)-(4)/(9)=(1)/(9)`

so that, we can conclude that the correct answer is:

`(1)/(9)`