Question

A coin is tossed (m + n) times (m > n). The probability of getting at least m consecutive heads is

Answer 1

Answer :(N+2/2^M+1)

Step-by-step explanation:

Let M be an an event of getting at least consecutive head.

∴Probability (getting at least M consecutive heads) =

Probability(getting consecutive heads in first M tosses) +

Probability(getting tail in the first toss, getting at least M consecutive heads second toss onwards) +

Probability(getting tail in the second toss, getting at least M consecutive heads third toss onwards) +

.

.

.

Probability(getting tail in the Nth toss, getting M consecutive heads in last M tosses)