Respuesta :

Answer:

There is a 1/8 probability of winning the given lottery.

Step-by-step explanation:

The total number of numbers available in the lottery to choose from = 40

The number of favorable options  = 5 numbers

Let E: Event of choosing a desirable number

Now, for any Event E:

[tex]P(E) = \frac{\textrm{Total number of favorable options}}{\textrm{Total number of options}}[/tex]

So, here: P(Winning a lottery ticket)  = [tex]\frac{\textrm{Total number of desirable options}}{\textrm{Total number of options}}[/tex]

[tex]= \frac{5}{40} = \frac{1}{8}[/tex]

Hence, there is a 1/8 probability of winning the given lottery.