Multiple choice

Find the correct relationship between given quantities. Quantity I- A box contains 50 tiles, in which 5 are red tiles, 6 are green tiles, 9 are blue tiles and remaining are yellow tiles. Then Probability of picking 2 tiles such that one is green and the other is blue ? Quantity II- In same bag find probability of picking 3 tiles such that at least one of them is red?

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Quantity I: P(1 green and 1 blue from 50 tiles with 6 green, 9 blue) = (6×9)/C(50,2) = 54/1225 ≈ 0.044. Quantity II: P(at least 1 red in 3 draws) = 1 - P(no red) = 1 - C(45,3)/C(50,3) = 1 - 1419/1960 = 541/1960 ≈ 0.276. Since 0.276 > 0.044, Quantity II > Quantity I.

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