Question

In a survey of 100 ladies it was found that 36 like coffee while 64 dislike it.
Out of these ladies, one is chosen at random. What is the probability that the chosen lady (i) likes coffee, (ii) dislikes coffee?

Answer 1

Total number of ladies surveyed = 100
Ladies who like coffee = 36
Ladies who do not like coffee = 64

$$\begin{gathered} \left(\mathrm{i}\right)\mathrm{Probability}\mathrm{of}\mathrm{choosing}\mathrm{a}\mathrm{lady}\mathrm{who}\mathrm{likes}\mathrm{coffee}=\frac{\mathrm{Number}\mathrm{of}\mathrm{ladies}\mathrm{who}\mathrm{like}\mathrm{coffee}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{ladies}}=\frac{36}{100}=\frac{9}{25} \\ \left(\mathrm{ii}\right)\mathrm{Probability}\mathrm{of}\mathrm{choosing}\mathrm{a}\mathrm{lady}\mathrm{who}\mathrm{dislikes}\mathrm{coffee}=\frac{\mathrm{Number}\mathrm{of}\mathrm{ladies}\mathrm{who}\mathrm{dislike}\mathrm{coffee}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{ladies}}=\frac{64}{100}=\frac{16}{25} \end{gathered}$$