COMEDK · Maths · 36. Probability
The odds against Arjun solving a problem are 5:2 and the odds in favour of Bhavana solving the same problem are 3:4. What is the probability that the problem is NOT solved by either of them?
- A \(\dfrac{10}{49}\)
- B \(\dfrac{29}{49}\)
- C \(\dfrac{15}{49}\)
- D \(\dfrac{20}{49}\)
Answer & Solution
Correct Answer
(D) \(\dfrac{20}{49}\)
Step-by-step Solution
Detailed explanation
Let \(A\) be the event that Arjun solves the problem and \(B\) be the event that Bhavana solves the problem. Given the odds against Arjun solving the problem are \(5:2\), the probability that Arjun does not solve the problem is \(P(A') = \dfrac{5}{5+2} = \dfrac{5}{7}\). Given…
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