Question

1.) Given P(E or F) = 0.82, P(E) = 0.18, and P(E and F) = 0.09, what is P(F)?

Answer 1

p(F)=0.73

Explanation:

we have by identity

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

Thus for given events E and F

we have
`p(E\cup F)=p(E)+p(F)-p(E\cap F)`

Applying values we get

`p(F)=p(E\cup F)+p(E\cap F)-p(E)`

Thus

p(F) = 0.82+0.09-0.18

p(F) = 0.73