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In one lottery, a player wins the jackpot by matching all five district numbers drawn in any order from the white balls (1 through 42) and matching the number on the gold ball (1 through 31). If one ticket is purchased, what is the probability of winning the jackpot?

Respuesta :

Given that

The number is drawn from white balls = 5

Explanation -

The number of sets of 5 numbers in (1 - 42) is = 42C5 = 850668

And the number of winning sets of 5 numbers is 1.

P(pick the proper set of 5 numbers) = 1/850668

P(correct number on gold ball) = 1/31

So the required probability will be,

P = (1/850668)(1/31)

P = 1/ 26370708

Hence the probability of winning the jackpot is 1/26370708.