In: Statistics and Probability
the probability that tom buys a blue car is 90%. the probability that tom buys a car with a black interior is 15%. the probability that tom buys a car which is blue and which has a black interior is 10% . find the probability that tom buys a car which is blue or tom buys a car which has black interior.
P(tom buys a car which is blue or tom buys a car which has black interior) = P(tom buys a car which is blue) + P(tom buys a car which has black interior) - P(tom buys a car which is blue and tom buys a car which has black interior)
= 0.9 + 0.15 - 0.1
= 0.95