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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 =
Step 2: P(D)=2 out of 23 =
Step 3: P(D)=1 out of 22 =
Probability of all three defective
P(DDD)=
Answer: probability of 3 defectives from a sample of 3 iPods is