Question

The probability that $A$ can solve a problem is $\frac{2}{3}$ and that $B$ can 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. $\frac{7}{12}$
• C. $\frac{5}{12}$
• D. $\frac{9}{12}$

Answer 1

Answer: (A)

$\frac{11}{12}$

The problem won't be solved if both A and B.

dont solve which has probability of $(1-\frac{2}{3})(1-\frac{3}{4})$ $=\frac{1}{12}$

So, the probability that the problem is solve

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

$=\frac{11}{12}$