Question

60 percent of students have car and iPad 70 percent have a car

What is probability that a student with a car also has an iPod

Answer 1

86%

Explanation:

To solve this problem you need to use the formula for conditional probability.

P(Ipod|Car) = P(Car and Ipod)P(Car).

P(a student with a car also has an iPod) = 0.6/0.7 = 0.857 = 86%

Answer 2

`P =0.857`

Explanation:

We know that 60% of students have an iPad and a car and 70% have a car.

If we call A the event "have an iPad" and call the event B "have a car"

So

`P (A\ and\ B) = 0.6\\\\P(B) = 0.7`

We look for the probability that a student with a car also has an iPad. This is

`P (A | B) = (P(A\ and\ B))/(P(B))\\\\P (A | B) = (0.6)/(0.7)\\\\P (A | B) = 0.857`