AP EAMCET · Maths · Probability
If two numbers \(a\) and \(b\) are chosen from the set of integers 1 to 39 , then the probability that those numbers satisfy the equation \(7 a-9 b=0\) is
- A \(\frac{1}{742}\)
- B \(\frac{4}{743}\)
- C \(\frac{4}{741}\)
- D \(\frac{5}{741}\)
Answer & Solution
Correct Answer
(C) \(\frac{4}{741}\)
Step-by-step Solution
Detailed explanation
Sample space for choosing two numbers from set of integers 1 to \(39={ }^{39} C_2\) Favourable elementary events are \[ (a, b)=(9,7),(18,14),(27,21),(36,28) \] So, probability to satisfy the equation \(7 a-9 b=0\) is, \[ =\frac{4}{{ }^{39} C_2}=\frac{4}{741} . \]
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