A balanced dime is tossed twice. The four possible equally likely outcomes are HH, HT, TH, TT.

Question:

A balanced dime is tossed twice. The four possible equally likely outcomes are HH, HT, TH, TT. Let
A = event the first toss is heads,
B = event the second toss is heads, and
C = event at least one toss is heads.
Determine the following probabilities and express your results in words. Compute the conditional probabilities directly; do not use the conditional probability rule.
a. P(B)
b. P(B | A)
c. P(B | C)
d. P(C)
e. P(C | A)
f. P(C | (not B))