A problem is given to three persons and their chances of solving it are 1/3, 1/4, 1/5 respectively. This probability that none will solve it is
Correct Answer: Option B
Probability of Solving the problem by first person = 1/3
Probability of Solving the problem by second person = 1/4
Probability of Solving the problem by third person = 1/5
Probability of Not Solving the problem by first person = 1- (1/3) = 2/3
Probability of not Solving the problem by second person = 1- (1/4) = 3/4
Probability of not Solving the problem by third person = 1- (1/5) = 4/5
So, The probability of none solving the problem = \(\frac{2}{3} \times \frac{3}{4} \times \frac{4}{5}\)
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