Question

out of 100 students, 27 are taking calculus, 26 are taking French, and 13 are taking both calculus and French. If a student is picked at random, what is the probability that the student is taking calculus or French? write your answer in fraction form

Answer 1

Determine the probability for taking calculus.

`P(C)=(27)/(100)`

Determine the probability for taking French.

`P(F)=(26)/(100)`

Determine the probability for taking calculus and French.

`P(F\text{ and C)=}(13)/(100)`

Determine the probability for taking Calculus or French.

`\begin{gathered} P(C\text{ or F)=P(C)+P(F)-P(C and F)} \\ =(27)/(100)+(26)/(100)-(13)/(100) \\ =(27+26-13)/(100) \\ =(40)/(100) \\ =(2)/(5) \end{gathered}`

So answer is 2/5.