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Assume that 2 cards are drawn from a standard 52-card deck. Find the following probabilities. a) Assume the cards are drawn w

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Answer #1

In a standard 52-card deck there are 4 tens card.

a) Drawn without replacement

Probability of drawing a tens card in first draw = 4/52

Probability of drawing a tens card in second draw = 3/51

The Probability of drawing 2 tens without replacement = 4/52 * 3/51 = 12/2652=1/221=0.0045

The Probability of drawing 2 tens without replacement is 0.0045

b) Drawn with replacement

Probability of drawing a tens card in first draw = 4/52

Probability of drawing a tens card in second draw = 4/52

The Probability of drawing 2 tens with replacement = 4/52 * 4/52 = 1/169 =0.0059

The Probability of drawing 2 tens with replacement is 0.0059

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