Two cards are drawn one after the other from a pack of 52 cards with replacement. What is the probability that both the cards drawn are face cards?
Answers
Answered by
7
Given:
A pack of 52 cards.
Two cards are drawn one after the other with replacement.
To Find:
The probability that both the cards drawn are face cards.
Solution:
A deck of 52 cards contain 12 face cards, jack, queen and king in 4 suites.
Therefore
- there is a 12/52 chance of drawing one face card at a time.
Now,
- Given that two cards are drawn one after the other, with replacement.
Therefore,
- Probability of drawing a face card first time = 12/52
Similarly,
- Probability of drawing a face card second time = 12/52
Therefore,
- probability that both the cards drawn are face cards = 12/52 x 12/52
- Probability = 3/13 x 3/13 = 9/169
The probability that both the cards drawn are face cards is 9/169.
Similar questions