Two packs of cards are thoroughly mixed and stuffed and two cards are drawn at random, one after the other. What is the probability that both of them are Jacks?
- A1/13
- B2/13
- C7/1339Correct
- D1/169
Explanation
To find the probability, we first determine the total number of cards and the number of Jacks available.
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Total cards: Since there are two packs, the total number of cards is 52 plus 52, which equals 104.
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Total Jacks: Each pack has 4 Jacks, so two packs have 8 Jacks in total.
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First draw: The probability of drawing a Jack is 8 out of 104. This simplifies to 1 out of 13.
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Second draw: Since one Jack has already been removed, there are now 7 Jacks left and 103 total cards remaining. The probability of drawing a second Jack is 7 out of 103.
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Combined probability: To find the final answer, multiply the two probabilities together. 1 divided by 13 multiplied by 7 divided by 103 equals 7 divided by 1339.
Therefore, option C is the correct answer.
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