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

Answer:

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

Step-by-step explanation:

Total number of face cards = 12

Total cards = 52

Probability of getting face card on first draw=$\frac{12}{52}$

Remaining no. of face cards = 11

Remaining number of total cards = 51

Probability of getting face card on second draw=$\frac{11}{51}$

The probability that the second card is a face card if it’s known that the first card was a face card =$\frac{12}{52} \times \frac{11}{51}= \frac{12}{52} \times \frac{11}{51}=0.0497$

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