A problem is given to three students A, B and C whose probabilities of solving the problem are \(\frac{1}{2},\frac{3}{4}\) and \(\frac{1}{4}\) respectively. What is the probability that the problem will be solved if they all solve the problem independently?

A problem is given to three students A, B and C whose probabilities of

1.	A problem is given to three students A, B and C whose probabilities of solving the problem are \(\frac{1}{2},\frac{3}{4}\) and \(\frac{1}{4}\) respectively. What is the probability that the problem will be solved if they all solve the problem independently?
A.	\(\frac{{29}}{{32}}\)
B.	\(\frac{{27}}{{32}}\)
C.	\(\frac{{25}}{{32}}\)
D.	\(\frac{{23}}{{32}}\)
Answer» B. \(\frac{{27}}{{32}}\)

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A problem is given to three students A, B and C whose probabilities of solving the problem are \(\frac{1}{2},\frac{3}{4}\) and \(\frac{1}{4}\) respectively. What is the probability that the problem will be solved if they all solve the problem independently?

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