Question

What is the probability that the same result (heads or tails) shows twice in a row exactly once in the ten tosses?

Answer 1

1/512

Explanation:

The probability is 2 out of 2^10 , because there are only two sequences when same result (heads or tails) shows twice in a row exactly once in the ten tosses (HTHTHTHTHT and THTHTHTHTH) out of 2^10 possible sequences.

2/2^10 = 2/1024 =1/512