AP EAMCET · Maths · Probability
If three numbers are drawn at random successively without replacement from a set \(S=\{1,2, \ldots 10\}\), then the probability that the minimum of the chosen numbers is 3 or their maximum is 7 .
- A \(\frac{11}{40}\)
- B \(\frac{5}{40}\)
- C \(\frac{3}{40}\)
- D \(\frac{1}{40}\)
Answer & Solution
Correct Answer
(A) \(\frac{11}{40}\)
Step-by-step Solution
Detailed explanation
Given, set \(S=\{1,2, \ldots \ldots, 10\}\) Here, three numbers are drawn at random from the given set. So, total possible outcomes, \(n={ }^{10} C_3=120\) Let \(\mathrm{A}\) be the event that minimum of chosen number is 3 .…
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