Question

At Bay High School 60% of all students have a car and an Ipod and 70% of all students have a car. What is the probability that a student with a car also has an Ipod?
A) 10%
B) 68%
C) 86%
D) 93%

Answer 1

Answer:

C)86%

Step-by-step explanation:

We are given that

Students have a car=60%

Students have  a car and Ipod=70 %

We have to find the probability that a student with a car also has an Ipod.

It means we have to find the probability $P(Ipod/car)$

Probability that a student has  a car=0.6

Probability that a student have both car and Ipod=0.7

The probability that a student that a student with a  car also has an IPod=$\frac{0.6}{0.7}=\frac{6}{7}\times 100=86$%

Using formula of conditional probability:P(A/B)=$\frac{P(A\capB)}{P(B)}$

Answer :C)86 %

Answer 2

The solution is 86%. To solve this problem,  Use the formula for conditional probability. 

P(Ipod|Car) = P(Car and Ipod)P(Car).

I hope this helps!