Question

Flip a coin 5 times. What is the probability that heads never occurs twice in a row?

Answer 1

`(15)/(32)`

Explanation:

Given that a coin is flipped 5 times. Let us assume it is a fair coin with probability for head or tail equally likely and hence 0.50

Sample space would have
`2^5 = 32` possibilities

For two heads never occurring in a row favourable outcomes are

HTTTT,HTTHT,HTTTH, HTHTH, HTHTT, THTHT, THTTT, THTTH, TTHTH, TTHTT, TTTHT, TTTTH, TTTTT, TTTTH

Hence probability =

Favorable outcomes/Total outcomes=

`(15)/(32)`