A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?
Answers:
A) 3/0 B) 3/1 C) 3/4 D) 3/8 E) 3/40
Let A, B, C be the respective events of solving the problem and be the respective events of not solving the problem. Then A, B, 3/4 are independent events   are independent events   Now, P(A) = 1/2 , P(B) = 1/3 and P(3/4)=1/4   P( none solves the problem) = P(not A) and (not B) and (not 3/4)   =   = =   =   Hence, P(the problem will be solved) = 1 - P(none solves the problem)   Answer: 3/4) 3/4
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A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?