Chapter 13.5, Problem 18PPS

To determine

To determine probability for the given data.

Answer to Problem 18PPS

The probability that a student takes geometry, if the student takes French is around 0.14.

Explanation of Solution

Given information:

Probablity that a student takes geometry and french is 0.064

Probablity that a student takes french is 0.45.

Let P(F) = 0.45

We have to find P(G|F)

  $\text{P(G and F)=0}\text{.064}$

We know that,

P(G|F) $=\frac{\text{P(G and F)}}{\text{P(F)}}$

Now we put values we get,

  $\text{P(}\text{G}|\text{F)=}\frac{0.064}{0.45}\approx 0.14$

Therefore the probability that a student takes geometry, if the student takes French is around 0.14.