Question

Two cards are drawn in succession and without replacement from a standard deck of 52 cards. Find the probability that the second card is a face card if it’s known that the first card was a face card.

Answer 1

The probability that the second card is a face card if it’s known that the first card was a face card is 0.0497

Explanation:

Total number of face cards = 12

Total cards = 52

Probability of getting face card on first draw=
`(12)/(52)`

Remaining no. of face cards = 11

Remaining number of total cards = 51

Probability of getting face card on second draw=
`(11)/(51)`

The probability that the second card is a face card if it’s known that the first card was a face card =
`(12)/(52) * (11)/(51)= (12)/(52) * (11)/(51)=0.0497`

Hence The probability that the second card is a face card if it’s known that the first card was a face card is 0.0497