SOLUTION: Two cards are drawn with replacement from an ordinary deck of 52 playing cards. What is the probability that the first card is a king and the second card is a diamond?

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Question 217309: Two cards are drawn with replacement from an ordinary deck of 52 playing cards. What is the probability that the first card is a king and the second card is a diamond?
Found 2 solutions by rfer, drj:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
4/52*13/52=52/2704=.019=1.9% chance

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Two cards are drawn with replacement from an ordinary deck of 52 playing cards. What is the probability that the first card is a king and the second card is a diamond?

Step 1. Assuming a full deck, then the Probability is 4%2F52=1%2F13 since there are 4 kings out of 52 cards

Step 2. The second draw is a full deck. Then the probability for the second draw is 13%2F52=1%2F4 since there are 13 diamonds out of 52 cards.

Step 3. Multiply the probabilities in Steps 1 and 2.

Step 4. ANSWER: Then, 1%2F13%2A1%2F4=1%2F52

I hope the above steps and explanation were helpful.

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Dr J