Answer:
The probability that a student takes a math class given that the student is taking an English class \(P(B/A)=0.17\)
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.
\(P(A\cap B)=0.084\)
The probability that a student takes an English class is 0.49.
\(P(A)=0.49\)
We have to find probability that a student takes a math class given that the student is taking an English class \(P(A/B)\)
Formula of conditional probability is
\(P(B/A)=\frac{P(A\cap B)}{P(A)}\)
Where B is the probability to find and A is the given condition.
\(P(B/A)=\frac{0.084}{0.49}\)
\(P(B/A)=0.17\)
