Asuming all outcomes are equally likely find p h n m p h

Question

Question: The sample space for three tosses of a coin is

S = {hhh, hht, hth, htt, thh, tht, tth, ttt}

Define events

H: at least one head is observed

M: more headsthan tails are observed

a. List the outcomes that comprise H and M.

b. List the outcomes that comprise H ∩ M, H ∪ M, and H^c.

c. Assuming all outcomes are equally likely, find P (H ∩ M), P (H ∪ M), and P (H^c).

d. Determine whether or not H c and M are mutually exclusive. Explain why or why not.