Question

The probability a car is serviced under warranty is known to be 42% and the probability a car being a fully imported model is 36%. The probability a car is serviced under warranty and is a fully imported model is 16%. What is the probability a car is imported or serviced under warranty? (2 decimal places)

Answer 1

The probability that a car is imported or serviced under warranty can be calculated using the formula for the union of two events.

Step-by-step explanation:

To find the probability that a car is imported or serviced under warranty, we need to use the formula for the union of two events:

P(A or B) = P(A) + P(B) - P(A and B)

In this case, let A denote the event that a car is imported and B denote the event that a car is serviced under warranty.

From the given information, we have:

P(A) = 0.36 (probability of a car being imported)

P(B) = 0.42 (probability of a car being serviced under warranty)

P(A and B) = 0.16 (probability of a car being both imported and serviced under warranty)

Substituting these values into the formula, we get:

P(A or B) = 0.36 + 0.42 - 0.16 = 0.62

Therefore, the probability that a car is imported or serviced under warranty is 0.62.