Independent and Mutually Exclusive Events · Example 2

Flip two fair coins. Find the probabilities of the events.

(a) Let F = the event of getting at most one tail (zero or one tail).
(b) Let G = the event of getting two faces that are the same.
(c) Let H = the event of getting a head on the first flip followed by a head or tail on the second flip.
(d) Are F and G mutually exclusive?
(e) Let J = the event of getting all tails. Are J and H mutually exclusive?

OpenStax, Introductory Statistics 2e · §3.2 Independent and Mutually Exclusive Events · Example 2