asked 71.3k views
2 votes
In a standard deck of card there are 52 cards total. Find the number of possible 5 hand cards that contain 3 queens and 2 kings.

asked
User Neelmeg
by
8.4k points

1 Answer

4 votes

Answer:

The probability of choosing 3 kings and 4 queens out of the 8 (4+4) kings and queens is given by 0.42857

Explanation:

There are 4 queens and 4 kings in a deck of 52 cards. So we have to choose 5 cards having 3 queens and 2 kings out of the 52

Therefore the combinations can be written like this 8C5= 56 ways

And the probability this can be chosen is given by

4C3*4C2/8C5

=4*6/56

=24/56

=0.42857

The probability of choosing 2 kings and 3 queens out of the 8 (4+4) kings and queens is given by 0.42857 or 24/56

answered
User Angaj Sharma
by
7.9k points
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