Question

Giving a test to a group of students the grades and gender are summarized below if one student is chosen at random find the probability that the student was female or got AB round the solution to 3 decimal places

Answer 1

Now, the total number of students = 55

Total number of female students = 32

Total number of students with B = 8

Total number of students that are female and scored B = 5

Now, Let the

`The\text{ probability of female students = Pr(F)}`
`and\text{ the probability of a student scoring B = Pr(B)}`
`\begin{gathered} \text{Also the probability of that a student is female and scores B } \\ be\text{ Pr(F}\cap B) \end{gathered}`

Then the Probability that a student was female or scored B becomes

`Pr(F)+Pr(B)-Pr(F\cap B)`

This becomes

`\begin{gathered} (32)/(55)+(8)/(55)-(5)/(55) \\ \\ (32+8-5)/(55) \\ \\ (35)/(55) \\ \\ 0.636 \end{gathered}`