Question

The probability that $A$ can solve a problem is $\frac{2}{3}$ and that $B$ solve is $\frac{3}{4}$. If both of them attempt the problem. What is probability that the problem act solved?

• A. $\frac{11}{12}$
• B. $0.3$
• C. $0.2$
• D. $0.4$

Answer 1

The correct option is A $\frac{11}{12}$

If we subtract the probability the question is solved from 1 we get the required answer

The problem is unsolved when both A and B does not solve the problem.

The probability that the problem is unsolved

=$(1-\frac{2}{3})(1-\frac{3}{4})$

=$\frac{1}{12}$

So,probability that problem is solved

= $=1-\frac{1}{12}=\frac{11}{12}$