Answer:
Probability that the first vehicle selected is a motorcycle and the second vehicle is a van is (24/187) or 0.1283.
Step-by-step explanation:
We are given that an automobile manufacturing plant produced 34 vehicles today: 16 were motorcycles, 9 were trucks, and 9 were vans.
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.
As we know that, <u>Probability of any event</u> =
<u>Now, Probability that the first vehicle selected is a motorcycle is given by;</u>
=
Here, Number of motorcycles = 16
Total number of vehicles = 16 + 9 + 9 = 34
So, <em>Probability that the first vehicle selected is a motorcycle</em> =
<u>Similarly, Probability that the second vehicle is a van is given by;</u>
=
Here, Number of vans = 9
And Total number of remaining vehicles after selecting one motorcycle = 34 - 1 = 33
So,<em> Probability that the second vehicle selected is a van</em> =
Therefore, the probability that the first vehicle selected is a motorcycle and the second vehicle is a van =
= = <u>0.1283</u>