data8 Question 3. Assume we are picking a lottery ticket. We must choose three distinct numbers from 1 to 1000 and write them on a ticket. Next, someone picks three numbers one by one from a bowl with numbers from 1 to 1000 each time without putting the previous number back in. We win if our numbers are all called in order. If we decide to play the game and pick our numbers as 12, 140, and 890, what is the chance that we win? Our proposed answer: (31000)3 Assign lottery to either 1, 2, or 3

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Answer:

The probability that you win is 1/997002000

Step-by-step explanation:

The probability that the first number matches is 1/1000, because it is one out of 1000. For the second one it will be 1/999 because one number is removed. For the third one it is 1/998, thus, the probability that you win is

1/1000 * 1/999 * 1/998 = 1/997002000