JEE Mains · Maths · STD 11 - 14. probability
Two distinct numbers a and b are selected at random from 1, 2, 3,......, 50. The probability, that their product ab is divisible by 3, is
- A \(\frac{561}{1225}\)
- B \(\frac{664}{1225}\)
- C \(\frac{272}{1225}\)
- D \(\frac{8}{25}\)
Answer & Solution
Correct Answer
(B) \(\frac{664}{1225}\)
Step-by-step Solution
Detailed explanation
Req. probability \(=1-(\) product not divisible by 3\()\) Multiple of \(3=16\) Not multiple of \(3=34\) \(=1-\frac{{ }^{34} C _2}{{ }^{50} C _2}=\frac{664}{1225}\)
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