4.4
Probability is a
long-term relative frequency. Hence, if you play many, many games of poker,
then about 100(1/21) = 4.76% of the time you’ll be dealt two pairs. That is, if
you play 5000 poker hands, then about 4.76% of them will contain two pairs.
This certainly doesn’t mean that you’ll receive a two-pair hand every 21 deals.
Probability signifies regularity in the long-run, not the short-run.
4.5
a. For my simulation, 57% of the shots were made.
b. The longest run of made shots was 6 and the longest run of missed shots was 4.