Multiple choice

Two quantities that is I and II are given in following questions. Students is expected to solve the quantities and answer them according to given options by comparing their numerical values. Quantity I: What will be the probability of selecting a letter as vowel from the word ‘‘WOMEN’’? Quantity II: Find the probability of selecting 2 Black balls from a bag containing 8 Black balls and 10 green balls?

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I < Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or relation can’t be established
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A Correct answer
Explanation

Quantity I: In 'WOMEN', vowels are O and E (2 out of 5), probability = 2/5 = 0.4. Quantity II: Selecting 2 Black balls from 8 Black and 10 Green (total 18). Probability = C(8,2) / C(18,2) = 28/153 ≈ 0.183. Since 0.4 > 0.183, Quantity I > Quantity II.

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