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Colored Marble Muse (Posted on 2022-05-07) Difficulty: 3 of 5
Saul, Simon and Stuart each have a bag containing 5 different colored marbles. Each bag contains the same five colors.
o Saul reaches into Simon's bag and Stuart's bag and randomly withdraws a marble from each and places them in his bag.
o Simon then reaches into Saul's and Stuart's bag and randomly withdraws a marble from each and places them in his bag.
o Finally, Stuart reaches into Saul's and Simon's bag and randomly chooses a marble from each and places them in his bag.
Determine the probability that each of the three boys has five different colors of marbles in their bag.

  Submitted by K Sengupta    
Rating: 5.0000 (1 votes)
Solution: (Hide)
The required probability is 13/315.

For an explanation, refer to the solution submitted by:

Brian Smith in this location.

Charlie in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolutionBrian Smith2022-05-08 12:18:02
re: Solution by casesCharlie2022-05-07 23:03:13
Solutioncomputer-aided solutionCharlie2022-05-07 13:24:06
SolutionSolution by casesJer2022-05-07 09:20:51
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