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

Question

ribhu · Answer

4C2 . 48C3 /52C5

ribhu · Answer

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

thatonegirl_ · Answer

Why did u do 48C3?

thatonegirl_ · Answer

@ribhu

ribhu · Answer

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

thatonegirl_ · Answer

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

ribhu · Answer

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

ribhu · Answer

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

thatonegirl_ · Answer

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

ribhu · Answer

|dw:1426110302964:dw|