###### Asked in Math and Arithmetic, Statistics, Probability

Math and Arithmetic

Statistics

Probability

# What is the probability of obtaining exactly 4 heads in 6 flips of a fair coin?

## Answer

###### Wiki User

###### 11/09/2010

The probability of a head in one flip is 1/2.

The probability of HHHHTT is (1/2)6 = 1/64

The possible correct flips are HHHHTT, HHHTHT, HHTHHT, HTHHHT, THHHHT, HHHTTH, HHTHTH, HTHHTH, THHHTH, HHTTHH, HTHTHH, THHTHH, HTTHHH, THTHHH, TTHHHH, each with a probability of 1/64.

Total probability is 15/64.

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