Question

Giving a test to a group of students, the grades and gender are summarized belowIf one student is chosen at random,Find the probability that the student was male OR got a(n) "A". (Please enter a reduced fraction.)

Answer 1

To find the probability that the student was male or got an A, we have to find the probabilities that the student was male (event A), got an A (event B) and the intersection between these events (A∩B).

`P(A)=(48)/(75)=(16)/(25)`
`P(B)=(26)/(75)`
`P(A\cap B)=(12)/(75)=(4)/(25)`

Now, to find the asked probability, use the following formula:

`\begin{gathered} P(A\cup B)=P(A)+P(B)-P(A\cap B) \\ P(A\cup B)=(48)/(75)+(26)/(75)-(12)/(75) \\ P(A\cup B)=(62)/(75) \end{gathered}`

The answer is 62/75.