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

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

Answer by drj(1380) (Show Source): 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.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J

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