Using the combinations formula, the probability that you'll win the jackpot is given by:
A. 1/302575350.
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
5 numbers are selected from a set of 70, along with one number from a set of 25, hence the number of combinations is given by:
[tex]C_{70,5}C_{25,1} = \frac{70!}{5!65!} \times \frac{25!}{1!24!} = 302575350[/tex]
Only one combination is correct, hence the probability of winning is given by:
A. 1/302575350.
More can be learned about the combination formula at https://brainly.com/question/25821700
#SPJ1