SOLUTION: Two cards are picked at random from a pack of 52 playing cards,one at a time with replacement. What is the probability that the two cards are a) both spades b) both aces c) both

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Question 1120015: Two cards are picked at random from a pack of 52 playing cards,one at a time with replacement. What is the probability that the two cards are
a) both spades
b) both aces
c) both spades or both hearts?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
With replacement,
P%28S%29=1%2F4
So,
P%28SS%29=P%28S%29P%28S%29=%281%2F4%29%281%2F4%29=1%2F16
.
.
.
With replacement,
P%28A%29=4%2F52=1%2F13
So,
P%28AA%29=P%28A%29P%28A%29=%281%2F13%29%281%2F13%29=1%2F169
.
.
From above,
P%28SS%29=1%2F16
Similarly,
P%28HH%29=1%2F16
So,
P%28SS_or_HH%29=1%2F16%2B1%2F16
P%28SS_or_HH%29=1%2F8