Question

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?

Answer 1

Answer:

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.

Answer 2

Answer: 0.112

Step-by-step explanation:

(20!)/((20-7)!7!)*(0.25)^(7)*(0.75)^(20-7)