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The lottery in our state consists of two drawings. first, a megaball is picked from among 27 numbered balls. second, five winnerballs are picked from among 44 numbered balls. to win the lottery, you must pick the megaball number correctly and also pick the numbers on the five winnerballs (but you don't need to get the order right for the winnerballs). what is the probability that the ticket i hold has the winning numbers

Respuesta :

Using the combination formula, it is found that the probability that the ticket i hold has the winning numbers is:

[tex]p = \frac{1}{29,322,216}[/tex].

What is the combination formula?

[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]

For the winnerballs, 5 balls are taken from a set of 44, hence:

[tex]C_{44,5} = \frac{44!}{5!39!} = 1086008[/tex]

Considering the numbered balls, the number of outcomes is given by:

N = 27 x 1086008 = 29,322,216.

Hence the probability is given by:

[tex]p = \frac{1}{29,322,216}[/tex].

More can be learned about the combination formula at https://brainly.com/question/25821700

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