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#