Question

The probability that a person owns a rice cooker is 0.42, that a person owns a electric griddle is 0.37, and that a person owns both a rice cooker and a griddle is 0.18. Find the probability that a person owns either a rice cooker or a griddle, but not both.

Answer 1

We have given that probability of person owns a rice cooker is 0.42 that is P(A) = 0.42

probability that person owns a electric griddle is 0.37 i.e P(B) = 0.37

probability that person owns both is 0.18 that is

We know that , P(AUB) =P(A) + P(B) - = 0.42+0.37 -0.18 = 0.61

We have to findd probability that person own either rice cooker or a griddle but not both.

it is given by P(A U B) - = 0.61 - 0.18 = 0.43

so final answer is 0.43