Question

A girl calculates that the probability of her winning the first prize in a lottery is 0.08. If 6000 tickets are sold, then the number of tickets she bought, is ___________.

Answer 1

Let the number of lottery tickets bought by the girl be n.

Probability of her winning the first prize = $\frac{\mathrm{Number}\mathrm{of}\mathrm{tickets}\mathrm{bought}\mathrm{by}\mathrm{her}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{tickets}\mathrm{sold}}=\frac{n}{6000}$

It is given that the probability of her winning the first prize in a lottery is 0.08.

$$\begin{gathered} \therefore \frac{n}{6000}=0.08 \\ \Rightarrow n=0.08\times 6000 \\ \Rightarrow n=480 \end{gathered}$$

A girl calculates that the probability of her winning the first prize in a lottery is 0.08. If 6000 tickets are sold, then the number of tickets she bought, is ___480___.