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In: Statistics and Probability

New Jersey Pick 6. In the New Jersey Pick 6 lottery game, a bettor selects six...

New Jersey Pick 6. In the New Jersey Pick 6 lottery game, a bettor selects six different numbers, each between 1 and 49. Winning the top prize requires that the selected numbers match those that are drawn, but the order does not matter.

b) How many different lottery tickets are possible? (c) Find the probability of winning the jackpot when one ticket is purchased?

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Expert Solution

b) How many different lottery tickets are possible?

There are 49 numbers between 1 and 49. The problem of selecting 6 different numbers, when order of selection is not important is combination

Number of ways of selecting 6 numbers from 49 is

ans: The number of possible lottery tickets is  13,983,816

(c) Find the probability of winning the jackpot when one ticket is purchased?

The winning numbers are 6 numbers drawn from these 49 numbers.

There is only 1 way that the selected numbers match the 6 winning numbers drawn.

The number of ways that the 6 numbers selected match the ones drawn is

the probability of winning the jackpot when one ticket is purchased is

ans: the probability of winning the jackpot when one ticket is purchased is 1/13983816 (or  0.000000072 )

orchestra answered 1 year ago
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