Probability of Preferring Math or Science

Hard Problem Solving And Data Analysis Probability And Statistics

In a survey of 200 students, it was found that 60 students prefer math, 80 prefer science, and 40 students prefer both math and science. If a student is selected at random, what is the probability that the student prefers either math or science but not both?

Let:

- The set of students who prefer math be represented as M.

- The set of students who prefer science be represented as S.

We need to find the probability of the event M ∪ S - M ∩ S.

$\frac{80}{200}$

$\frac{60}{200}$

$\frac{100}{200}$

$\frac{140}{200}$

Hint

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