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Suppose you draw four cards from a standard 52-card deck without replacement. What is the probability that you draw 4 hearts? Round to the nearest thousandths.

Suppose you draw four cards from a standard 52-card deck without replacement. What-example-1
User Brentonk
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1 Answer

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There are 13 heart cards in a deck of 52 cards.

Without replacement, the probability of drawing hearts will be:


\text{ Probability = \lparen1st draw\rparen\lparen2nd draw\rparen\lparen3rd draw\rparen\lparen4th draw\rparen}
\text{ Probability = \lparen}(13)/(52))((12)/(51))((11)/(50))((10)/(49))
\text{ = }(17,160)/(6,497,400)\text{ = }(11)/(4165)\text{ = 0.00264105642}
\text{ Probability }\approx\text{ 0.003}

Therefore, the probability is around 0.003

User RiggsFolly
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