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.