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6 May, 11:59

the probability of drawing a heart from a standard deck of cards is 0.25. You record the card you draw and return the card before shuffling to ensure a binomial distribution. If you do this 20 times, what is the probability that you will draw a heart 7 times?

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  1. 6 May, 12:14
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    0.1124

    Step-by-step explanation:

    Here, p (draw a heart) is 0.25. Either you draw a heart or you do not.

    Thus, this is binomial probability, with n = 20 and x = 7.

    If you draw a card and record the outcome 20 times, what is If you do this 20 times, what is the probability that you will draw a heart 7 times?

    Use the binomial probability density function on your calculator.

    On mine, I type in binompdf (20, 0.25, 7). This returns 0.1124, which is the probability that you will draw a heart 7 times.
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