Question

1000 tickets of a lottery were sold and there are three prizes in the lottery. If Sachin
has purchased one ticket, what is the probability of his winning a prize?

Answer 1

$$\begin{gathered} \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{tickets}\mathrm{in}\mathrm{the}\mathrm{lottery}=1000 \\ \mathrm{Total}\mathrm{possible}\mathrm{outcomes}=1000 \\ \mathrm{Number}\mathrm{of}\mathrm{tickets}\mathrm{having}\mathrm{prizes}=3 \\ \mathrm{Number}\mathrm{of}\mathrm{favourable}\mathrm{outcomes}=3 \\ \mathrm{Now},\mathrm{P}\left(\mathrm{winning}\mathrm{a}\mathrm{prize}\right)=\frac{\mathrm{Number}\mathrm{of}\mathrm{favourable}\mathrm{outcomes}}{\mathrm{Total}\mathrm{possible}\mathrm{outcomes}}=\frac{3}{1000}=0.003 \end{gathered}$$