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Two numbers are chosen at random, without replacement, from the set 1, 2, 3, 4, 5, 6 and used to form a fraction that is less than one. What is the probability that the fraction cannot be reduced? Express your answer as a fraction in lowest terms.

 May 3, 2020
 #1
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1 / 2
1 / 3
1 / 4
1 / 5
1 / 6

2 / 3
2 / 4 - Reducible
2 / 5
2 / 6 - Reducible

3 / 4
3 / 5
3 / 6 - Reducible

4 / 5
4 / 6 - Reducible

5 / 6
Total =15 - 4 Reducibles =11 / 15 - The probability that the fraction cannot be reduced.

 May 3, 2020

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