A problem is given to three students whose chances of solving it are 1 3 1 4 and 1 5 respectively Wh...........

Quantitative Aptitude ( CCS) Probability

A problem is given to three students whose chances of solving it are 1/3, 1/4 and 1/5 respectively. What is the probability that the problem will be solved?

1/2

3/4

3/5

4/5

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Explanation:

Given chances of students to solve is 1/3, 1/4, 1/5
P(the problem will be solved) = 1 – P(none solves the problem)
P(none solves the problem)=(1-1/3)*(1-1/4)*(1-1/5)
=2/3*3/4*4/5=24/60
P(the problem will be solved)=1-24/60
=(60-24)/60=36/60=3/5
Hence, option 3 is the correct answer.