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P(at least one heart out of two cards drawn) = 1 - P(neither being a heart)

= 1 - (39/52)(38/51) = 1 - (2 * 3 * 13 * 19)/(2 * 2 * 3 * 13 * 17) = 1 - 19/34

= (34 - 19)/34 = 15/34

P(at least one heart out of two cards drawn) = 15/34

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