E and F are mutually exclusive events. P(E) = 0.15; P(F) = 0.71. Find P(E | F)

Question

E and F are mutually exclusive events. P(E) = 0.15; P(F) = 0.71. Find P(E | F)

Answer 1

Hi Robert,

If events E and F are mutually exclusive then P(E Ι F) = 0.

This is because the definition of mutually exclusive events means that P (E ∩ F) = 0, in other words the two events cannot happen at the same time so there is no intersection.

Since P(E Ι F) = P (E ∩ F) / P(F) and the numerator is zero, so is the final probability.

Please let me know if I can be more helpful, thanks!

Joe