Two cards are drawn from a deck of 52 cards. what is the probability that they are both kings

Two cards are drawn from a deck of 52 cards. what is the probability that they are both kings

Text Solution

Answer : `1/221`

Solution : Probability of first card to be a king, `P(A)=4//52` and probability of secod to be a king, `P(B)=3//51.` Hence, orequired probability is <br> `P(AnnB)=4/52xx3/51=1/121`

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Four cards are randomly selected from a pack of 52 cards. If the first two cards are kings, what is the probability that the third card is a king?

The given answer is 2/50.

I was thinking 4 cards can be selected in 52C4 ways, out of which first three kings can be selected in 4P3 ways i.e. 24 ways and last 1 card can be choose by 49 ways. Hence result should be equal to (24*49)/(52C4)

Where am I going wrong?

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