AP EAMCET · Maths · Probability
A problem in Algebra is given to two students \(A\) and \(B\) whose chances of solving it are \(\frac{2}{5}\) and \(\frac{3}{4}\) respectively. The probability that the problem is solved if both of them try independently is
- A \(\frac{17}{20}\)
- B \(\frac{3}{20}\)
- C \(\frac{1}{2}\)
- D \(\frac{13}{20}\)
Answer & Solution
Correct Answer
(A) \(\frac{17}{20}\)
Step-by-step Solution
Detailed explanation
\( P(\text{A does not solve}) = 1 - \frac{2}{5} = \frac{3}{5} \) \( P(\text{B does not solve}) = 1 - \frac{3}{4} = \frac{1}{4} \) \( P(\text{problem not solved}) = P(\text{A does not solve}) \times P(\text{B does not solve}) = \frac{3}{5} \times \frac{1}{4} = \frac{3}{20} \)…
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