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Pascal's Lottery (Posted on 2021-07-01) Difficulty: 3 of 5

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 Submitted by broll    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: partial solution and some thoughtsJer2021-07-01 17:38:53
re: QuestionJer2021-07-01 17:11:05
re: QuestionCharlie2021-07-01 15:40:51
QuestionQuestionMath Man2021-07-01 13:43:02
Some Thoughtspartial solution and some thoughtsCharlie2021-07-01 10:45:25
SolutionSolution with researchJer2021-07-01 10:36:27
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