SOLUTION: A man owns a house in town and a cabin in the mountains. The probability of the house being burglarized is 0.18 and the probability of the cabin being burglarized is 0.27. What is

Algebra ->  Statistics  -> Normal-probability -> SOLUTION: A man owns a house in town and a cabin in the mountains. The probability of the house being burglarized is 0.18 and the probability of the cabin being burglarized is 0.27. What is       Log On


   

Question 1046177: A man owns a house in town and a cabin in the mountains. The probability of the house being burglarized is 0.18 and the probability of the cabin being burglarized is 0.27. What is the probability that (rounded off to three decimals):
a) Both homes will be burglarized
b) Neither homes will be burglarized
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Assume independence for between the two events.
a) P(HC) = P(H)*P(C) = 0.18*0.27 = 0.0486.

b) P(H'C') = P(H')*P(C') = (1-P(H))*(1 - P(C)) = 0.82*0.73 = 0.5986.