Answer:
i. 3/5
ii. 2/5
Explanation:
Solving the problem by any of the students A, B and C is an independent event as solution by one does not restrict the other one from solving
However, the problem will be solved if even one of them solves the question
Now Probability of not solving the question by A, B and C are
PA (not solving a problem) - 1-1/3 = 2/3
PB (not solving a problem) - 1-1/4 = 3/4
PC (not solving a problem) - 1-1/5 = 4/5
ii) Probability of not solving - 2/3*3/4*4/5 = 2 *1/5 = 2/5
i) Probability of solving - 1- Probability of not solving
= 1 - 2/5 = 3/5
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