Question

a problem in statistics is given to three students ABC. their chances of solving problems are 1/3 1/4 1/5 respectively if allof them try independently what is the probablity that problem is solved , problem is not solved, and exactly two students solve the problem

Answer 1

Given the probability that A can solve the problem P(A) = 1/3.

Given the probability that B can solve the problem P(B) = 1/4.

Given the probability that C can solve the problem P(C) = 1/5.

Therefore, probability that the problem is not solved is given as

(1 - P(A)) * (1 - P(B)) * (1 - P(C))

= (1 - 1/3) * (1 - 1/4) * (1 - 1/5)

= 2/3 * 3/4 * 4/5

= 2/5.

Therefore the probability that the problem is solved = 1 - 2/5

                                                                                        = 3/5.

Hope this helps!