Question

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.)

Answer 1

1/376,992

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:

`n=(36!)/((36-5)!5!)=(36*35*34*33*32)/(5*4*3*2*1)=376,992`

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

`P = (1)/(376,992)`