Exams › IBPS PO › Quantitative Aptitude
Q84. A box contains 4 red balls, 6 white balls, 2 orange balls, and 8 black balls. Quantity I: Two balls are drawn at random. Probability that both are either red or white. Quantity II: Three balls are drawn. Probability that all are different.
- Quantity I > Quantity II
- Quantity I < Quantity II
- Quantity I \ge Quantity II
- Quantity I = Quantity II
Correct answer: Quantity I < Quantity II
Solution
Quantity I is the probability that both drawn balls are from the red or white group, while Quantity II is the probability that three balls are all of different colors. On calculation, the second probability is larger, so Quantity I is less than Quantity II.
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