SOLUTION: A box contains 42 batteries, 7 of which are defective. If 5 are selected at random, find the probability that: all are defective and none are defective.

Question 167638: A box contains 42 batteries, 7 of which are defective. If 5 are selected at random, find the probability that: all are defective and none are defective.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A box contains 42 batteries, 7 of which are defective. If 5 are selected at random, find the probability that: all are defective and none are defective.
------------------------
P(all are defective) = 7C5/42C5 = 21/850668 = 0.000024685....
==================
P(none are defective) = 35C5/42C5 = 324632/850668 = 0.38162...
===================
Cheers,
Stan H.
RELATED QUESTIONS
A box contains 11 transistors, 5 of which are defective. If 5 are selected at random find (answered by Fombitz)

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

A box contains 12 transistors , 5 of which were defective. If 5 are selected at random,... (answered by stanbon)

A flashlight has 7 batteries, 3 of which are defective. If 3 are selected at random... (answered by Boreal)

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

A box contains 21 transistors, 7 of which are defective. If 7 are selected at random,... (answered by stanbon)

A box contains 10 transistors , 4 of which were defective. If 4 are selected at random,... (answered by Fombitz)

a box contains 30 transistors, 8 of which are defective. If 6 are selected at random ,... (answered by ewatrrr)

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