SOLUTION: In previous section, we described an experiment in which the number 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.

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Question 328959: In previous section, we described an experiment in which the number 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. Find each probability in Excercises 16 and 17.
The probability that the first number is 3, given the following.
a. The sum is 7.
b. The sum is 8.

Answer by Fombitz(32388) About Me  (Show Source):
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a) The possible first number-second number combinations that lead to a sum of 7 are (2 5) (5 2) (3 4) (4 3). The probability of drawing a 3 first given the sum is 7 is 1/4.
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b) The possible first number-second number combinations that lead to a sum of 8 are (3 5) (5 3). The probability of drawing a 3 first given the sum is 8 is 1/2.