The probability of drawing a heart from a standard deck of cards is 0.25. you record the car do you draw and return the car before shuffling to ensure a binomial distribution. if you do this 20 times, what is the probability that you will draw a heart seven times.

a) 0.888

b) 0.001

c) 0.112

d) 0.473

C) 0.112

Step-by-step explanation:

In binomial distribution with parameters n (Total trails) and p (probability of getting success sin each trial) , the probability of getting success in x trials is given by :-

Given : The probability of drawing a heart from a standard deck of cards is 0.25

Here , getting heart is the success.

Then p= 0.25

For n= 20

The probability that you will draw a heart seven times i.e. x= 7:

Hence, the probability that you will draw a heart seven times = 0.112

Thus , the correct answer is C) 0.112 .