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?

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.