Question

C and D are mutually exclusive events. Find P(C or D).
P(C)= 3/7= P(D)= 4/7
P(C or D)

Answer 1

`P(C\ or\ D) = 1`

Explanation:

Given

`P(C) = (3)/(7)`

`P(D) = (4)/(7)`

Required

`P(C\ or\ D)`

Since the events are mutually exclusive, then:

`P(C\ or\ D) = P(C) + P(D)`

So, we have:

`P(C\ or\ D) = (3)/(7) + (4)/(7)`

Take LCM

`P(C\ or\ D) = (3+4)/(7)`

`P(C\ or\ D) = (7)/(7)`

`P(C\ or\ D) = 1`