A ball is drawn at random from a container that holds 8 yellow balls numbered 1

Question

A ball is drawn at random from a container that holds 8 yellow balls numbered 1 to 8, 6 orange balls numbered 1 to 6, and 10 gray balls numbered 1 to 10. What is the probability of obtaining an orange ball or a ball numbered 5 or an orange ball numbered 5 in a draw of one ball? What is the probability of a gray ball or a ball numbered 8 or a gray ball numbered 8 in a draw of one ball? If the probability of obtaining i nonconforming unit in a sample of 2 from a large prene gaskets is 0.18 and the probability of 2 nonconforming units 0.25, lot of neo what is the probability of 0 nonconforming units? Using the information in Problem 9, find the probability of obtaining 2 noncon- ing units on the first sample of 2 and I nonconforming unit on the second hat is the probability of 0 nonconforming units on the first sample and 2 nonconforming units on the second? The first gasket selected is returned to sample of 2. W the lot before the second one is selected. it. A basket contains 34 heads of lettuce, 5 of which are spoiled. If a sample of 2 is drawn and not replaced, what is the probability that both will be spoiled?

Explanation / Answer

P(Orange ball) = 6/24 = 0.25

P(Ball numbered 5) = 3/24 = 0.125

P(orange ball or ball numbered 5 or an orange ball numbered 5) = (6+3-1)/24 = 8/24 = 0.33

P(grey ball) = 10/24

P(8 numbered ball) = 2/24

P(grey ball or ball numbered 8 or a 8 numbered grey ball) = (10+2-1)/24 = 11/24 = 0.46

PS : We are directed to solve only the first question when multiple questions are posted or the first 4 parts when multiple parts of the same question are posted.

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