Question

In​ November, the rain in a certain valley tends to fall in storms of several​ days' duration. The unconditional probability of rain on any given day of the month is 0.500 . But the probability of rain on a day that follows a rainy day is 0.900 ​, and the probability of rain on a day following a nonrainy day is 0.200 . Find the probability of rain on two randomly selected consecutive days in November.

The probability of rain on two randomly selected consecutive days in November is

Answer 1

P(rain on two consecutive days) = P(rain on first day) * P(rain on a day that follows a rainy day)

                                                   = 0.5 * 0.9

                                                   = 0.45 (ans)