AP EAMCET · Maths · Probability
A rational number is selected at random from the distinct rational numbers of the form \(\mathrm{p} / \mathrm{q}\) formed with p and q belonging to the set \(\{1,2,3,4,5,6\}\). The probability that the rational number selected is a proper fraction, is
- A \(\frac{1}{2}\)
- B \(\frac{5}{6}\)
- C \(\frac{11}{23}\)
- D \(\frac{13}{35}\)
Answer & Solution
Correct Answer
(C) \(\frac{11}{23}\)
Step-by-step Solution
Detailed explanation
Total distinct rational numbers \( \frac{p}{q} \) from \( p,q \in \{1,2,3,4,5,6\} \): \( 23 \) Distinct proper fractions (where \( p Probability \( = \frac{11}{23} \)
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