A company produces light bulbs, and finds that approximately 2% of the light bulbs they produce are defective. The company wants to make a money-back guarantee that in every box of 10 light bulbs, no more than 1 will be defective. What is the probability that a random box of 10 bulbs will fail to satisfy the guarantee?

My Approach:
If 100 are produced 2 light bulbs will be defective.

In 10 cases (10 lightbulbs each); we have a 50% chance that the 2 will be in 1 box and a 50% chance that 2 defectives will be in 2 boxes.
Therefore the probability of it failing its guarantee is (1/10)(1/2)= 5%

Is this correct? I am not sure how else to approach this problem.

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  1. No

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