The probability that Jeff can solve a given mathproblem is 4/5, that Sadie can s

Question

The probability that Jeff can solve a given mathproblem is 4/5, that Sadie can solve it is 2/3 , and thatKyle can solve it is 3/7. Determine the probability that mathproblem will be solve if all three try to solve the mathproblem. (the answer is "101/105" but how i get this answer) thank youfor your help The probability that Jeff can solve a given mathproblem is 4/5, that Sadie can solve it is 2/3 , and thatKyle can solve it is 3/7. Determine the probability that mathproblem will be solve if all three try to solve the mathproblem. (the answer is "101/105" but how i get this answer) thank youfor your help

Explanation / Answer

we need at least one of them to be able to solve the problem the alternative is that none of them can P(none can solve) = (1/5)(1/3)(4/7) = 4/105 so P(at least one can solve) = 1 - 4/105 = 101/105

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