Question

A dice is rolled what is the probability of getting a odd number

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{S}\mathrm{be}\mathrm{the}\mathrm{sample}\mathrm{space}. \\ \mathrm{S}=\left\{1,2,3,4,5,6\right\} \\ \mathrm{n}\left(\mathrm{S}\right)=6 \\ \mathrm{Let}\mathrm{E}\mathrm{be}\mathrm{the}\mathrm{event}\mathrm{of}\mathrm{gettting}\mathrm{an}\mathrm{odd}\mathrm{number}. \\ \mathrm{Now},\mathrm{E}=\left\{1,3,5\right\} \\ \mathrm{n}\left(\mathrm{E}\right)=3 \\ \mathrm{P}\left(\mathrm{E}\right)=\frac{\mathrm{n}\left(\mathrm{E}\right)}{\mathrm{n}\left(\mathrm{S}\right)}=\frac{3}{6}=\frac{1}{2} \end{gathered}$$