If a box has 100 pens of which 10 are defective, then what is the probability that out of a sample of 5 pens drawn one by one with replacement atmost one is defective?

Options

A. `(9/10)^(5)`
B. `1/2(9/10)^(4)`
C. `1/2(9/10)^(4)`
D. `(9/10)^(5)+1/2(9/10)^(4)`

Explanation

To find the probability that out of a sample of 5 pens drawn one by one with replacement, at most one is defective, we can follow these steps:

### Step 1: Define the problem
We have a box containing 100 pens, of which 10 are defective. We want to find the probability that out of 5 pens drawn, at most one is defective.

### Step 2: Identify the probabilities
- The probability of drawing a defective pen (success) is:
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