SOLUTION: In a box of 24 iPods, 3 are defective. If 3 are sold, find the probability that all are defective.

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Question 939336: In a box of 24 iPods, 3 are defective. If 3 are sold, find the probability that all are defective.
Answer by mathmate(429) About Me  (Show Source):
You can put this solution on YOUR website!

Given:
A batch of 24 iPods, 3 of which are defective (D).
Find probability P(DDD) that all three are defective.

Solution:
Again, assume random sampling for all three.
It's therefore a 3-step experiment where the probability is the product of each individual steps.
Step 1: P(D)=3 out of 24 =+3%2F24+=+1%2F8
Step 2: P(D)=2 out of 23 =+2%2F23+
Step 3: P(D)=1 out of 22 =+1%2F22+
Probability of all three defective
P(DDD)=1%2F8%2A2%2F23%2A1%2F22=1%2F2024

Answer: probability of 3 defectives from a sample of 3 iPods is 1%2F2024