SOLUTION: Two cards are drawn from a standard deck of 52 where the first card is replaced before the second card is drawn. Find the probability that both cards are face cards (jack, queen, o
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-> SOLUTION: Two cards are drawn from a standard deck of 52 where the first card is replaced before the second card is drawn. Find the probability that both cards are face cards (jack, queen, o
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Question 217420: Two cards are drawn from a standard deck of 52 where the first card is replaced before the second card is drawn. Find the probability that both cards are face cards (jack, queen, or king).
a. 9/2704
b. 9/676
c. 11/221
d. 9/169
You can put this solution on YOUR website! Two cards are drawn from a standard deck of 52 where the first card is replaced before the second card is drawn. Find the probability that both cards are face cards (jack, queen, or king).
a. 9/2704
b. 9/676
c. 11/221
d. 9/169
Step 1. There are 12 face cards out of 52 cards. So probability of Face Card in first draw is 12/52 or 3/13.
Step 2. Since we replaced the cards, we still have 12 face cards out of 52 cards in the second draw. We then have 3/13 as the probability.
Step 3. Multiply the two probabilities in Steps 1 and 2 to get
Step 4. ANSWER is d. or 9/169.
I hope the above steps were helpful.
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