Direction: Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.
There are 50 cards in a box numbered from 1 to 50. One number is written on each card.A card is drawn from the box.
Quantity I: Find the probability that the drawn card is a multiple of 2, 3 and 4.
Quantity II: Find the probability that the drawn card is an odd prime number.
1. Quantity I ˂ Quantity II
2. Quantity I ≥ Quantity II
3. Quantity I ≤ Quantity II
4. Quantity I = Quantity II
5. Quantity I ˃ Quantity II
Correct Answer – Option 1 : Quantity I ˂ Quantity II
Quantity I:
Total number of cards = 50
Number of favorable cards = 4 (i.e. 12, 24,36 and 48)
⇒ P(E) = 4/50 = 2/25 = 0.08
Quantity II:
Total number of cards: 50
Number of favorable cards = 14 (i.e. 3, 5, 7, 11, 13,17,19,23, 29, 31, 37, 41, 43, 47)
⇒ P(E) = 14/50 = 7/25 = 0.28
∴ Quantity I < Quantity II