If a die is thrown 5 times, then find the probability that an odd number will come up exactly three times.

Explanation

To solve the problem of finding the probability that an odd number will come up exactly three times when a die is thrown five times, we can use the binomial probability formula. Let's break it down step by step.

### Step 1: Identify the parameters for the binomial distribution
We have:
- \( n = 5 \) (the number of trials, since the die is thrown 5 times)
- \( x = 3 \) (the number of successful outcomes we want, which is getting an odd number exactly 3 times)

### Step 2: Determine the probability of success (p) and failure (q)
...