Question

Three cards are drawn with replacement from a standard deck. what is the probability that the first card will be a diamond, the second card will be a black card, and the third card will be an ace

Answer 1

Probability 1st card is a diamond.....13 diamonds in the deck....13/52 reduces to 1/4
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probability 2nd card will be black....there are 26 black cards.....26/52 reduces to 1/2
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probability 3rd card is an ace....4 aces in the deck...4/52 reduces to 1/13

probability for all of that happening : 1/4 * 1/2 * 1/13 = 1/104 or 0.0096 or 0.96%