most states run a lottery game in which players may select a three digit number, then later that day a televised drawing randomly selects a winning three digit number. suppose you select one three digit number and buy a ticket. what is the probability that your three digit number is an exact match with the winning three digit number?

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21-10-2022
Mathematics

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most states run a lottery game in which players may select a three digit number, then later that day a televised drawing randomly selects a winning three digit number. suppose you select one three digit number and buy a ticket. what is the probability that your three digit number is an exact match with the winning three digit number?

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qwgreen qwgreen · Answer 1 · 2022-10-26T10:53:06-04:00

The probability that the selected three digit number is an exact match with the winning three digit number = 1/1000

The 10 digits are 0, 1, 2, 3, 4, 5, 6,7, 8, 9. From these 10 digits 3 digits are selected.

Total number of ways of selecting a three-digit number = Number of ways of selecting a digit from 10 digits for each place(one's, ten's and hundred's place)

Thus a three-digit number can be selected in 10 x 10 x 10 = 1000 ways.

So there are 1000 possibilities for a three digit number.

From this only one choice matches exactly with the winning number.

So the number of favorable outcome = 1

Hence, The probability that the selected three digit number is an exact match with the winning three digit number = 1/1000

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