SOLUTION: The probability that rain fall on the first day is 0.2 and the probability that rain fall on the second day is 0.3 .Find the probability that (1) rainfall on both days (2) the prob
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Question 1122765: The probability that rain fall on the first day is 0.2 and the probability that rain fall on the second day is 0.3 .Find the probability that (1) rainfall on both days (2) the probability that rain didn't fall on both days (3) the probability that rain fall on either day
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
probability of rain on the first day is .2
probability of rain on the second day is .3
assuming these events are independent of each other, then:
probability of rain on both days is .2 * .3 = .06
probability of no rain on both days is .8 * .7 = .56
probability of rain on either day, but not both = .2 * .7 + .8 * .3 = .38
total probabilities should be equal to 1.
probability of rain on both days = .2 * .3 = .06
probability of rain on first day but not the second is .2 * .7 = .14
probability of rain on second day but not the first is .8 * .3 = .24
probability of no rain on both days is .8 * .7 = .56
total probability is .06 + .14 + .24 + .56 = 1.0, as it should be.
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