(Answered) Question eight bowling balls are in a bin two are defective

Statistics

Question: Eight bowling balls are in a bin. Two are defective, having been manufactured as cubes instead of the traditional spherical shape. A person uses a remote gripping device to pick three of the balls out of the bin, sight unseen. The order of the choice is unimportant.

(a) What is the probability that none of the balls chosen was defective?

(b) What is the probability that exactly one defective ball was taken?

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