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The probability of drawing a heart is 13 in 52 or 1 in 4. The probability of drawing a 9 is 4 in 52 or 1 in 13. The probability of drawing a heart or a 9 is (13 + 4 - 1) in 52, with the -1 required because the 9 of hearts intersects the solution set. (13 + 4 - 1) in 52 is 16 in 52, which is 4 in 13, or about 0.3077.

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Q: A single card is drawn from a deck Find the probability of selecting a heart or a 9?
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If two cards are drawn from a standard deck of playing cards without replacement find the probability of selecting a heart and a diamond?

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