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A problem in maths is given to three students ,whose chances of solving are 1/3,1/4,1/5.what is the probability that: The problem is solved Only two can solve Only one can solve All of them can solve No one can solve

A problem in maths is given to three students ,whose chances of solving are 1/3,1/4,1/5.what is the probability that:
The problem is solved
Only two can solve
Only one can solve
All of them can solve
No one can solve

Grade:10

1 Answers

Ravi
askIITians Faculty 69 Points
6 years ago
Only 2 can solve...
Take 3 cases each with 2 sets of students who can solve the problem and one who will not be able to solve the question.
1/3.1/4.4/5+ ¼.1/5.2/3+ 1/3.1/5/3/4

For when only one can solve,
1/3.3/4.4/5+........

For all of them …
1/3.1/4.1/5

For none...
2/3.3/4.4/5

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