If the probability of rain on any given day in City X is 40%, what is probability that it rains on ...

If the probability of rain on any given day in City X is 40%, what is probability that it rains on exactly 3 days in a 4 day period?

Quiz

Answer/Solution

96/625

Steps/Work

One possible way is rain-rain-rain-no rain.
The probability of this is 2/5*2/5*2/5*3/5 = 24/625
The number of possible ways is 4C3 = 4, so we multiply this by 4.
P(rain on exactly 3 days) = 4*24/625 = 96/625
The answer is C.