A game board has 8 cards and 2 say WIN. Mayela picks 2 cards without replacing the first. What is the probability that neither say WIN?

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1247028

2026-08-27 13:15

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To find the probability that neither of the two cards Mayela picks says WIN, we first note that there are 8 cards in total, with 2 WIN cards and 6 non-WIN cards. The probability that the first card she picks is not a WIN card is 6/8 (or 3/4). After picking one non-WIN card, there are 7 cards left, with 5 of those being non-WIN cards. The probability that the second card is also not a WIN card is 5/7. Thus, the overall probability that neither card says WIN is (6/8) * (5/7) = 30/56, which simplifies to 15/28.

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