TS EAMCET · Maths · Probability
Two friends \(A\) and \(B\) meet every weekend either at a party or at a Sports Club. The probability that they meet at Sports Club is \(\frac{4}{9}\). The probability that they will dine together at a party and at the Club are respectively \(\frac{1}{3}\) and \(\frac{2}{5}\). On a certain weekend the probability that they disperse without dine together is
- A \(\frac{86}{135}\)
- B \(\frac{10}{27}\)
- C \(\frac{17}{27}\)
- D \(\frac{56}{135}\)
Answer & Solution
Correct Answer
(A) \(\frac{86}{135}\)
Step-by-step Solution
Detailed explanation
Let \(E_1\) be the event that \(A\) and \(B\) met at a party, \(E_2\) be the event that \(A\) and \(B\) met at a sports club and \(D\) be the event that \(A\) and \(B\) will dine together.…
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