Question

There is a 40% chance that your car will get stuck in the snow during the next big snow fall. Given that you are already stuck in the snow with your car, the chance that you will require a tow truck to pull you out is 75%. What is the chance that you will get stuck in the snow with your car AND require a tow truck to pull you out?

Hint: P(A|B)=P(A∩B) / P(B)


53%


30%


32%


28%

Answer 1

The probability that we will get stuck in the snow with our car AND require a tow truck to pull out is 30 %

Explanation:

Probability that your car will stuck in snow = 40 % or 40/100 = 2/5

Probability that you will require a tow truck = 75 % or 75 / 100 = 3/4

We need to find the probability that we will get stuck in the snow with our car AND require a tow truck to pull out

So, to find the solution we need to multiply these two probabilities

i.e,

probability that we will get stuck in the snow with our car AND require a tow truck to pull out = Probability that your car will stuck in snow * Probability that you will require a tow truck

= 2/5 * 3/4

= 2*3 / 5*4

=6/20

= 3/10

=0.3 or 30 %