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svet-max [94.6K]
3 years ago
13

At West High School, 16% of the student population is taking a calculus course, 11% is taking a physics course, and 4% is taking

both. Find the probability that a student chosen at random is taking a calculus course, given that the student is taking a physics course
Mathematics
2 answers:
ArbitrLikvidat [17]3 years ago
8 0
4/11 is the answer
I hope this helps!
AysviL [449]3 years ago
4 0

Answer:

The probability is:

                \dfrac{4}{11}

Step-by-step explanation:

It is given that:

16% of the student population is taking a calculus course.

11% is taking a physics course.

and 4% is taking both.

Now we are asked to find the probability that the student is taking a calculus course given that he is taking physics course.

Let A denote the event of taking a calculus course.

B denote the event of taking a physics course.

A∩B denote the event of taking both.

Let P denote the probability of an event.

We are asked to find:

                  P(A|B)

We know that:

P(A|B)=\dfrac{P(A\bigcap B)}{P(B)}

From the information we have:

P(A\bigcap B)=0.04

P(B)=0.11

              Hence,

P(A|B)=\dfrac{0.04}{0.11}\\\\\\P(A|B)=\dfrac{4}{11}=0.3636

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