Answer:
The probability that a student takes a math class given that the student is taking an English class [tex]P(B/A)=0.17[/tex]
Step-by-step explanation:
Given : 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.
To find : What is the probability that a student takes a math class given that the student is taking an English class?
Solution :
Let A be the student takes English class.
Let B be the student take Math class.
Probability that a student takes an English class and a math class is 0.084.
[tex]P(A\cap B)=0.084[/tex]
The probability that a student takes an English class is 0.49.
[tex]P(A)=0.49[/tex]
We have to find probability that a student takes a math class given that the student is taking an English class [tex]P(A/B)[/tex]
Formula of conditional probability is
[tex]P(B/A)=\frac{P(A\cap B)}{P(A)}[/tex]
Where B is the probability to find and A is the given condition.
[tex]P(B/A)=\frac{0.084}{0.49}[/tex]
[tex]P(B/A)=0.17[/tex]
