An automobile manufacturing plant produced vehicles today: were sedans, were trucks, and were motorcycles. Plant managers are going to select two of these vehicles for a thorough inspection. The first vehicle will be selected at random, and then the second vehicle will be selected at random from the remaining vehicles. What is the probability that the first vehicle selected is a sedan and the second vehicle is a truck?

Question is incomplete :

Number of each type of vehicle produced isn't given :

An automobile manufacturing plant produced 32 vehicles today: 10 were sedans, 11 were vans, and 11 were trucks. Plant managers are going to choose two of these vehicles for thorough inspection. The first vehicle will be chosen at random, and then the second vehicle will be chosen at random from the remaining vehicles.

What is the probability that the first vehicle selected is a sedan and the second vehicle is a truck?

55 / 496

Step-by-step explanation:

Total possible outcomes = 32

Number of Sedan = 10

Vans = 11

Trucks = 11

P(first selection is sedan) :

Number of sedan / total number of vehicles

= 10 /32 = 0.3125

P(second is a truck)

Total possible outcomes = 32 - 1 = 31

Number of trucks = 11 / 31

(10/32 * 11/31)

= (10*11) / (32*31)

= 110 / 992

= 55 /496

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