Question 939336
  
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 ={{{ 3/24 = 1/8}}}
Step 2: P(D)=2 out of 23 ={{{ 2/23 }}}
Step 3: P(D)=1 out of 22 ={{{ 1/22 }}}
Probability of all three defective
P(DDD)={{{1/8*2/23*1/22=1/2024}}}
  
Answer: probability of 3 defectives from a sample of 3 iPods is {{{1/2024}}}