SOLUTION: Two cards are chosen at random from a deck of 52 cards without replacement. The probability of getting two kings ………….. a) 4/663 b) 1/221 c) 1/69

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Question 929346: Two cards are chosen at random from a deck of 52 cards without replacement. The probability of getting two kings …………..
a) 4/663
b) 1/221
c) 1/69
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
There are 52 cards to start.
Four of these 52 cards are kings.
Therefore the probability of drawing a king on the first drawing P%28K1%29is 4%2F52 or 1%2F13.
After drawing one king there are only 51 cards remaining, of which three are kings. The probability of drawing a king on the second drawing P%28K2%29 is 3%2F51.
The probability of drawing two kings in a row is therefore the product of both draws or
P%28K1%29%2AP%28K2%29
= %284%2F52%29+%2A+%283%2F51%29
= 12%2F2652
which reduces to
= 1%2F221+
so, your answer is b) 1%2F221+