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

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) (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 =
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
RELATED QUESTIONS
A box contains 24 widgets, 4 of which are defective. If 4 are sold at random, find the... (answered by nyc_function,jrfrunner)

A box contains 15 transistors, 3 of which are defective. If 3 are selected at random.... (answered by Alan3354)

A box contains 24 bulbs, 3 of which are defective. If two bulbs are selected and tested,... (answered by Boreal,greenestamps)

A box contains 24 bulbs, 4 of which are defective. If 4 are sold at random, find the... (answered by Boreal)

a box contains 24 transistors, 4 of which are defective if 4 are sold at random . find... (answered by ikleyn)

A box contains 15 transistors, 3 of which are defective. If 3 are selected at... (answered by jim_thompson5910)

a box contains 25 transistors 6 of which are defective. if 6 are selected at random find... (answered by fractalier)

A box contains 11 transistors, 5 of which are defective. If 5 are selected at random find (answered by Fombitz)

A box contains 42 batteries, 7 of which are defective. If 5 are selected at random, find... (answered by stanbon)