MHT CET · Maths · Probability
An urn contains 6 yellow balls and \(x\) black balls. When two balls are drawn at random, the probability that both are yellow is \(\frac{5}{26}\), then the value of \(x\) is
- A 5
- B 11
- C 7
- D 9
Answer & Solution
Correct Answer
(C) 7
Step-by-step Solution
Detailed explanation
\(\frac{\binom{6}{2}}{\binom{6+x}{2}} = \frac{5}{26}\) \(\frac{15}{\frac{(6+x)(5+x)}{2}} = \frac{5}{26}\)
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