For better understanding see this : https://aptitude.gateoverflow.in/4169/cat1995-151

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The following table gives data of some students. However, some data has been spoilt and cannot be read on the computer floppy

It is also known that:

1. Half the students were either excellent or good.

2. 40% of the students were females

3. One-third of the male students were average. Based on the above answer the following questions.

What proportions of female students are good?

- $0$
- $0.25$
- $0.5$
- $1.0$

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Performance | Total | |||
---|---|---|---|---|

Average | Good | Excellent | ||

Male | $\color{blue}{16}$ | $\color{blue}{22}$ | 10 | $\color{blue}{48}$ |

Female | $\color{blue}{(40-16) = 24}$ | $\color{blue}{8}$ | -- | 32 |

Total | $\color{blue}{40}$ | 30 | $\color{blue}{10}$ | $\color{blue}{80}$ |

$∴ \color{green}{\text{The proportion of good female students =}} $ $\color{purple}{\dfrac{8}{32} = 0.25}$