Assume that you are about to buy a car. There is a probability of 0.4 that you will purchase a new vehicle, and a probability of

Question

3 years ago

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Assume that you are about to buy a car. There is a probability of 0.4 that you will purchase a new vehicle, and a probability of

0.5 that you will purchase a used vehicle. There is no probability that you will go home with more than one vehicle. The probability that you purchase no vehicle at all is:A. 0.9B. 1.0C. 0.1D. 0.0

Mathematics

1 answer:

Mila [183] · Answer 1 · 2022-03-08T12:09:43+03:00

Answer:

C. 0.1

Step-by-step explanation:

The sum of the probabilities of all possible events must equal 1.

Since there is no probability of purchasing two vehicles ore more, the events are:

- Purchase a new vehicle (0.5)

- Purchase a used vehicle (0.4)

- Purchase no vehicle at all (x)

The probability of not purchasing a vehicle is:

$x=1-0.5-0.4\\x=0.1$

The probability that you purchase no vehicle at all is: C. 0.1