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Find the probability of the given event Choosing five numbers that match five randomly selected balls when the balls are numbered 1 through 36 The probability of the given event is ___ (Type an integer or a simplified fraction.)

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Answer:

1/376,992

Step-by-step explanation:

Assuming that the order at which the numbers are picked does not matter, the number of possible combinations of selecting 5 balls out of 36 is:

[tex]n=\frac{36!}{(36-5)!5!}=\frac{36*35*34*33*32}{5*4*3*2*1}=376,992[/tex]

Since each event can only happen once, the probability of getting all five balls right is:

[tex]P = \frac{1}{376,992}[/tex]

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