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Mathematics 20 Online
OpenStudy (thatonegirl_):

A 5-card hand is dealt from a deck of 52 cards. What is the probability that exactly 2 cards are kings?

OpenStudy (ribhu):

4C2 . 48C3 /52C5

OpenStudy (ribhu):

first two kings out of 52 cards, then from remaining # cards and then 5 cards out of 52

OpenStudy (thatonegirl_):

Why did u do 48C3?

OpenStudy (thatonegirl_):

@ribhu

OpenStudy (ribhu):

4 cards would be kings and we already took 2 kings out of 4 kings, and from the remaining two we can not choose.

OpenStudy (thatonegirl_):

But why do you need to do that? i did 4C2/52C5, which is wrong.

OpenStudy (ribhu):

because we have to choose 5 cards, and 2 must be kings.

OpenStudy (ribhu):

u did for only two cards, u need to choose three more but from cards other than kings.

OpenStudy (thatonegirl_):

Ohhh okay. So do i multiply 48C3 by the 4C2?

OpenStudy (ribhu):

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