4 cards are drawn from a well shuffled pack of 52 cards without replacement .if the fourth card is a king ,then the chance that the first 3 cards are also a king is 1/20820+a then a is equal to
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Let S be the face cards and F be the other cards.
The cards are drawn one by one without replacement from a well shuffled pack of 52 cards.
The probability that a face card will appear for first time on third turn =P(FFS)
⇒ Number of face cards =12, No. of other cards =40.
∴P=
52
40
×
51
39
×
50
12
=
85
12
=0.141.
Hence, the answer is
85
12
.
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