Box: 4 Red, 6 White, 2 Orange, 8 Black balls (total=20). Qty I: P(both balls red or white) when 2 drawn. Qty II: P(all 3 balls different colours) when 3 drawn.

Quantity I > Quantity II
Quantity I < Quantity II
Quantity I ≥ Quantity II
Quantity I = Quantity II

Correct answer: Quantity I < Quantity II

Solution

Qty I: C(10,2)/C(20,2)=45/190. Qty II (3 diff colours): (48+192+64+96)/1140=400/1140. 45/190≈0.237 < 400/1140≈0.351. Qty I < Qty II.

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