# If you flip a fair coin 10 times, what is the probability that it lands on heads exactly 4 times?

##### 2 Answers

#### Explanation:

The probability of getting a head in a single toss

The probability of not getting a head in a single toss

Now, using Binomial theorem of probability,

The probability of getting exactly

The probability is approximately 20.51%.

#### Explanation:

This question uses the binomial distribution.

Let

Then

The probability of

#"P"(X=4)=""_10C_4(1/2)^4(1-1/2)^(10-4)#

#color(white)("P"(X=4))=210(1/16)(1/2)^6#

#color(white)("P"(X=4))=210(1/16)(1/64)#

#color(white)("P"(X=4))=210/1024=105/512~~0.2051#