A study of hunting injuries and the wearing of hunter orangeclothing showed that

Question

A study of hunting injuries and the wearing of hunter orangeclothing showed that 123 hunters injured when mistaken for game. 6were wearing orange. If a follow up study begins with the randomselection of hunters from this sample of 123, find the probabilitythat the first two selected hunters were both wearing orange. a. Assume that the first hunter is replaced before the nextone is selected. b. Assume that the first hunter is not replaced before thesecond one is selected. A study of hunting injuries and the wearing of hunter orangeclothing showed that 123 hunters injured when mistaken for game. 6were wearing orange. If a follow up study begins with the randomselection of hunters from this sample of 123, find the probabilitythat the first two selected hunters were both wearing orange. a. Assume that the first hunter is replaced before the nextone is selected. b. Assume that the first hunter is not replaced before thesecond one is selected.

Explanation / Answer

a. The probability of the first hunter wearing orange is6/123and, if he goes back into the pack, the probability of thesecond one wearing orange is 6/123. So the probability of thefirst two wearing orange is 6/123 x 6/123 = 36/15129 or 9/1681 or P= .00535 b. Again 6/123 for the first but if not replaced, thesecond is 5/122 so the probability is 6/123 x 5/122 = 30 /15006 =61/7503 or P=.0081

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