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Mathematics 22 Online
OpenStudy (anonymous):

Use the Counting Principle to find the probability of choosing the 8 winning lottery numbers when the numbers are chosen at random from 0 to 9

OpenStudy (anonymous):

For each lottery number, how many digits are there to choose from?

OpenStudy (anonymous):

9? I don't know.

OpenStudy (anonymous):

From 0 to 9. How many numbers?

OpenStudy (anonymous):

9

OpenStudy (anonymous):

Try again. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. How many?

OpenStudy (anonymous):

10

OpenStudy (anonymous):

There you go. So for each of the 8 lottery numbers, there are 10 possible choices. The counting principle says that we multiply the number of possibilities for each number. So we need to multiply 10, 8 times. What do you get?

OpenStudy (anonymous):

100,000,000

OpenStudy (anonymous):

Exactly. Well done!

OpenStudy (anonymous):

Thank you

OpenStudy (anonymous):

You\re welcome

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