Multiple choice

Find the correct relationship between given quantities. Quantity I : What will be the probability of selecting a letter as vowel from the word KNIFE? Quantity II : Find the probability of selecting 2 Red balls from a bag containing 8 red balls and 10 yellow balls?

  1. Q1 > Q2

  2. Q1 ≥ Q2

  3. Q1 < Q2

  4. Q1 ≤ Q2

  5. Q1 = Q2 or relationship cannot be established
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A Correct answer
Explanation

Q1: Word KNIFE has 5 letters, vowels are I and E (2 vowels). P(vowel) = 2/5 = 0.4. Q2: Total balls = 18. P(2 red) = (8C2)/(18C2) = (8×7/2)/(18×17/2) = 28/153 ≈ 0.183. Since 0.4 > 0.183, Q1 > Q2.

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