The probability that a house in an urban area will be burgla

The probability that a house in an urban area will be burglarized is 5%. If 92 houses are randomly selected, what is the probability that none of the houses will be burglarized?

Solution

Assuming the probability of a house being burglarized is independent of the probability of another house being burglarized,
P(not burglarized) = 1 - 5% = 95%
P(not burglarized) ^ 92
= (.95)^92