Question

4. Consider the following information about a group of 143 FCC students: Gender Right-handed Left-handed Total Female 63 15 78 Male 51 14 65 Total 114 29 143 If one person is randomly selected from the group, what is the probability that this student is female or left-handed?

Answer 1

The Probability that this student is female or left-handed is

`(92)/(143)`

Given

Total = 143

Total female = 78F

Total left handed =29

Female and left-handed =15

`P(\text{female or left-handed)=}P(f)+P(L)-P(F\text{ and L)}`
`\begin{gathered} P(f\text{ or L)=}(78)/(143)+(29)/(143)-(15)/(143) \\ P(\text{f or L )= }(92)/(143) \end{gathered}`