Answer:
Probability that it will rain on two consecutive days = 0.162
Explanation:
Assuming that the events are independent events.
The probability that it will rain on exactly two consecutive days between Friday and Sunday involves two outcomes:
1) either it does not rain on Sunday, but it rains on Friday and Saturday, or
2) it does not rain on Friday, and then it rains on Saturday and Sunday
The probability that it will rain on Friday and Saturday, but not on Sunday is
P(Fri)*P(Sat)*P(not Sun)
P(Fri) = 0.9, P(Sat) = 0.9; P(not Sun) = 1 - 0.9 = 0.1
Therefore, the probability = 0.9 * 0.9 * 0.1 = 0.081
Also, the probability that it will rain on Saturday and Sunday, but not on Friday is;
P(Sat)*P(Sun)*P(not Fri)
P(Sat) = 0.9; P(Sun) = 0.9; P(not Fri) = 1 - 0.9 = 0.1
Therefore, the probability = 0.9*0.9*0.1 = 0.081
Therfore, the probability that it will rain on exactly two consecutive days between Friday and Sunday = 0.081 + 0.081 = 0.162
