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

Answer:

$P =0.857$

Step-by-step 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

$P (A | B) = \frac{P(A\ and\ B)}{P(B)}\\\\P (A | B) = \frac{0.6}{0.7}\\\\P (A | B) = 0.857$

Answer 2

Answer:

86%

Step-by-step 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%