SOLUTION: A retailer purchases 210 of a new brand of DVD player, of which 4 are defective. The purchase agreement says that if he tests 5 chosen at random and finds 1 or more defective, he r

Question 1150040: A retailer purchases 210 of a new brand of DVD player, of which 4 are defective. The purchase agreement says that if he tests 5 chosen at random and finds 1 or more defective, he receives all the DVD players free of charge. What is the probability that he will not have to pay for the DVD players?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
number of ways to choose 5 is 210C5
find probability all are not defective is the complement of the answer.
that is 206C5
Also, the probability of the first not being defective is 206/210, the second 205/209. then 204/208, and 203/207.
That probability is 0.9075 of not being defective.
The question asks for probability of at least 1 being defective (so he doesn't have to pay), and that is the complement or 0.0925.

RELATED QUESTIONS
A retailer purchases 140 of a new brand of DVD player, of which 8 are defective. The... (answered by ewatrrr)

I need some help figuring out how to go about this problem. A retailer purchases 90 of a (answered by lynnlo)

A retailer purchases 90 of a new brand of DVD player, of which 3 are defective. The... (answered by ewatrrr)

After a 65% reduction, you purchase a new DVD player for sale for $280.What was the... (answered by stanbon)

after a 85% reduction, you purchase a new dvd player on sale for $11. what was the... (answered by psbhowmick)

Mr. Slayer is a buyer for an electronics store. he received a shipment of 5 DVD players... (answered by Theo)

After a 85% reduction, you purchase a new DVD player on sale for $105. What was... (answered by Boreal)

An online retailer charges $6.99 plus $0.55 per pound to ship electronics purchases. How... (answered by sofiyac)

. An online retailer charges $6.99 plus $0.55 per pound to ship electronic purchases. How (answered by josmiceli)