Question

Events A and B are overlapping. P(A) = 6/17 ; P(B) = 5/17 ; P(A and B) = 3/17 .Find P(A or B) 14/17 8/17 11/17 9/17

Answer 1

B.
`(8)/(17)`

Explanation:

If two events A and B are overlapping, then

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

You are given

`P(A)=(6)/(17)\\ \\P(B)=(5)/(17)\\ \\P(A\cap B)=(3)/(17)`

Hence,

`P(A\cup B)=(6)/(17)+(5)/(17)-(3)/(17)=(6+5-3)/(17)=(8)/(17)`