AP EAMCET · Maths · Probability
Two integers are drawn at random from the set \(\{5,6, . ., \ldots 35\}\). What is the probability that their difference is odd?
- A \(\frac{15}{62}\)
- B \(\frac{8}{31}\)
- C \(\frac{15}{31}\)
- D \(\frac{16}{31}\)
Answer & Solution
Correct Answer
(D) \(\frac{16}{31}\)
Step-by-step Solution
Detailed explanation
Two integers are drawn from \(\{5,6, \ldots \ldots, 35\}\) Given, integer are 31 Total ways of choosing 2 integer from 31 integers \[ ={ }^{31} C_2 \] Two integer difference will be odd only when one is even and other is odd. Let \(A\) be the event of selecting two integers…
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