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Probability
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Suppose that the event of picking a face card from a standard deck of 52 cards is considered a success. If a card is drawn at random and replaced, and this process is repeated 11 times, what is the probability that the card selected was a face card 6 times?
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A. 0.019 B. 0.024 C. 0.004 D. 0.976 E. 0.995
There are 12 face cards in a standard deck of 52 cards. Therefore on each draw the probability of drawing a face card is 12/52. The probability of drawing a face card 6 times in 11 draws is found as follows: \[P(6\ face\ cards)=\frac{11!}{6!5!}\times(\frac{12}{52})^{6} \times(\frac{40}{52})^{5}=you\ can\ calculate\]
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