Exams › IBPS PO › Quantitative Aptitude
Quantity I: Two cards are picked at random. What is the probability that the first card is between 5 and 9 inclusive and the second card is greater than or equal to a queen but less than an ace? Quantity II: A card is picked at random. What is the probability that it is either from 1 to 5 inclusive or greater than a queen? A) Quantity I ≥ Quantity II B) Quantity I < Quantity II C) Quantity I > Quantity II D) Quantity I < Quantity II
- Quantity I ≥ Quantity II
- Quantity I < Quantity II
- Quantity I > Quantity II
- Quantity I < Quantity II
Correct answer: Quantity I < Quantity II
Solution
In a standard deck, cards from 5 to 9 inclusive are 5 ranks, so the first draw has probability 20/52. Cards greater than or equal to queen but less than ace are queens and kings, so the second draw has probability 8/52. Quantity I is therefore smaller than Quantity II, which counts 1 to 5 plus cards above queen.
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