A certain sports car comes equipped with either an automatic or a manual transmi

Question

A certain sports car comes equipped with either an automatic or a manual transmission, and the car is available in one of three colors. Relevant probabilities for various combinations of transmission type and color are given in the following table. Colors Transmission Type White (W Black (B) Red (R) 0.13 0.18 0.16 0.18 0.15 0.20 (1 points) If we select a sport car randomly, what is the probability that the car is a black one? What is the probability that the car has an automatic transmission? a. b. (1 points) A black car is selected. What is the probability of the car being an automatic car?

Explanation / Answer

Answer

(A) From the table, the probability of black car is the sum of automatic black cars and manual black cars

so, probability of black car = 0.18+0.20 = 0.38

Probability that the car has an automatic transmission is sum of autamatic white, black and red cars

so, the required probability of automatic transmission = 0.13+0.18+0.16 = 0.47

(B) now, we need to find the probability of selecting a black automatic car

look at black car column and automatic car row, pick the cell where both meeting

so, from table, black car with automatic transmission has probability of 0.18

so, the required probability is 0.18 for a black car with automatic transmission

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