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The digits 0 through 9 are each written on a small wooden tile. The tiles are put into a black bag. Tiles are removed one at a time in sequence, the digit is written down and the tile is returned to the bag.

Example: 1st tile removed is a 6. Replace the tile, shake the bag and pick a tile. 2nd pick is a 0. Replace, shake, and pick. 3rd tile is a 7. So the number picked is 607

If three tiles are picked …

a) What is the probability of producing a number divisible by 5?
b) What is the probability of producing three repeated digits?
c) What is the probability of producing a number without an even digit?
d) What is the probability of producing three distinct digits?

Sagot :

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