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The numbers 1,2,3,4 and 5 are written on slips of paper, and 2 slips are drawn...

The numbers 1,2,3,4 and 5 are written on slips of paper, and 2 slips are drawn at random one at a time without replacement.
a) Find the probability that the first number is 1, given that the sum is 5.
b) Find the probability that the first number is 3, given that the sum is 8.

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