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.