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Problems dealing with various probabilities, be it coin tossing or game winning.
Difficulty: 3 of 5 Latest: Pascal's Lottery Rating: 4.00

Every soul is allotted 6 numbers, chosen at random from the positive integers.

If such numbers are relatively prime, then the soul is admitted to Heaven - otherwise, not.

What is the probability of an eternal reward?

What is the probability of an eternal reward, if such numbers must be pairwise prime?

Note: the integers 30, 42, 70, and 105 are relatively prime, while the numbers 121, 122, and 123 are pairwise prime, see the definitions at https://primes.utm.edu/glossary/xpage/RelativelyPrime.html

(No Solution Yet, 6 Comments) Submitted on 2021-07-01 by broll   
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