Question

Are the events A and B mutually exclusive?....yes or no

Answer 1

No

Explanation:

We know that

any two events are mutually exclusive when

P(A or B)=P(A)+P(B)

we are given

P(A or B)
`=(2)/(7)`

`P(A)=(1)/(3)`

`P(B)=(1)/(7)`

we can add P(A)+P(B)

`P(A)+P(B)=(1)/(3)+(1)/(7)`

now, we can simplify it

`P(A)+P(B)=(1* 7)/(3* 7)+(1* 3)/(7* 3)`

`P(A)+P(B)=(7+3)/(3* 7)`

`P(A)+P(B)=(10)/(21)`

we can see that it is not equal to 2/7

so, A and B are not mutually exclusive

so,

No