In January in a certain city the unconditional probability of rain on any given day of the month is 0.400. But the probability of rain on a day that follows a rainy day is 0.600 and the probability of
Rain on a day following a nonrainy day is 0.250. Find the probability of rain on three randomly
Selected consecutive days in January.
A)0.144
B)0.090
C)0.064
D)0.216

Question

Quizplus · Accepted Answer

The probability of rain on three randomly selected consecutive days can be calculated by first determining the probability of rain on the first day, which is 0.400, then multiplying it by the probability of rain on the second day given that the first day was rainy, which is 0.600, and finally multiplying that result by the probability of rain on the third day given that the second day was rainy, which is again 0.600. Therefore, the calculation is 0.400 * 0.600 * 0.600 = 0.144.

In January in a Certain City the Unconditional Probability of Rain