A coin is tossed 15 times, then find the probability that exactly 9 consecutive heads appears, is

Options

A. `7/2^(11)`
B. `9/2^(11)`
C. `11/2^(11)`
D. `13/2^(11)`

Answer

To solve the problem of finding the probability that exactly 9 consecutive heads appear when a coin is tossed 15 times, we can break down the problem step by step.

### Step 1: Understand the problem
We need to find the probability of getting exactly 9 consecutive heads in 15 tosses of a coin. This means that there should be a sequence of 9 heads (HHHHHHHHH) in the 15 tosses, and we need to account for the positions of the remaining tosses.