just b 5. (6 pts, 3 pts each) Suppose that a flashlight requires 3 batteries. Al

Question

just b

5. (6 pts, 3 pts each) Suppose that a flashlight requires 3 batteries. Also suppose you of 25 batteries, of which 20 are good and the other 5 are defective. Consider randomly 3 batteries without replacement. a) Determine the probability that all three batteries are good. (Express your final answer as a number rounded to three decimal places.) 2o 25 b) Determine the probability that at least one of the 3 batteries is good. (Express your final answer as a number rounded to three decimal places.) k' # ordered segnences type GB 028 BGB exac with B aud 2 G BG c) 4951 .1376662

Explanation / Answer

a) P(all three are good) = 20C3/25C3 = 0.496

b) P(at one of the three is good) = (20C1 * 5C2 + 20C2 * 5C1 + 20C3)/25C3 = 0.996

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