Cards are dealt from a well-shuffled standard deck until the first heart appears. a)       What is the probability that exactly 5 deals are required? b)      What is the probability that 5 or fewer...

Description
Cards are dealt from a well-shuffled standard deck until the first heart appears.
a) What is the probability that exactly 5 deals are required?
b) What is the probability that 5 or fewer deals are required?
c) What is the probability that exactly 3 deals were required, given that 5 or fewer were required?
Solution:
Dealing cards is done without replacement. If you deal a card and replace/reshuffle before...