Question

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

Answer 1

Answer:

$\frac{15}{32}$

Step-by-step 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=

$\frac{15}{32}$