Question

The probability that a student takes an English class and a math class is 0.084. The probability that a student takes an English class is 0.49. What is the probability that a student takes a math class, given that the student is taking an English class? (2 points)A 0.084B 0.406C 0.49D 0.171

Answer 1

Question

The probability that a student takes an English class and a math class is 0.084. The probability that a student takes an English class is 0.49. What is the probability that a student takes a math class, given that the student is taking an English class?

Solution

Let E denotes the event that the student takes an English class

Let M denotes the event that the student takes a Math class

We are given

`\begin{gathered} p(E\cap M)=0.084 \\ p(E)=0.49 \end{gathered}`

We want to find

`p(M|E)`

The formula to use is given as

`p(M|E)=(p(M\cap E))/(p(E))`
`\begin{gathered} p(M|E)=(p(M\cap E))/(p(E)) \\ p(M|E)=(0.084)/(0.49) \\ p(M|E)=0.1714 \\ p(M|E)=0.171 \end{gathered}`

Thus, the answer is 0.171

Option D