1.

In a pouch there are 5 orange, 3 brown, and 4 red balls. 3 balls are picked at random?Quantity I: The probability that 2 balls are brown in color and 1 ball is red in color.Quantity II: The probability that all balls are orange in color.1. Quantity I < Quantity II2. Quantity I = Quantity II3. Quantity I > Quantity II4. Quantity I ≥ Quantity II5. Quantity I ≤ Quantity II

Answer» Correct Answer - Option 3 : Quantity I > Quantity II

Calculation:

Quantity I:

Favorable outcomes:

2 brown + 1 red ball = 3C2 × 4C1

⇒ 12

Total outcomes = 12C3

⇒ 220

∴ Probability = 12/220

⇒ 3/55

Quantity II:

3 Orange balls = 5C3

⇒ 10

Total outcomes = 12C3

⇒ 220

∴ Probability = 10/220

⇒ 1/22

Quantity I > Quantity II



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