An unbiased coin is tossed 7 times, find the chance that exactly 5 times head will appear.

Options

A. 23/128
B. 21/128
C. 19/64
D. 21/64

Explanation

To solve the problem of finding the probability of getting exactly 5 heads when an unbiased coin is tossed 7 times, we can follow these steps:

### Step 1: Understand the Problem
We need to find the probability of getting exactly 5 heads in 7 tosses of an unbiased coin. Each toss has two possible outcomes: heads (H) or tails (T).

### Step 2: Use the Binomial Probability Formula
The probability of getting exactly k successes (heads) in n trials (tosses) can be calculated using the binomial probability formula:
\[
...