Question

Directions: Given below are two quantities named A and B. 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 between the possible answers.

Quantity A: What is the probability of picking first ball red, and after keeping it back, picking a second ball purple, from a bag containing 10 red, 10 purple and 5 black balls?

Quantity B: 0.06

1. Quantity A > Quantity B
2. Quantity A < Quantity B
3. Quantity A ≥ Quantity B
4. Quantity A ≤ Quantity B
5. Quantity A = Quantity B or No relation.

Answer 1

Correct Answer - Option 1 : Quantity A > Quantity B

Quantity A:

Total number of balls = 10 + 10 + 5 = 25

Required probability = probability of picking first ball red × probability of picking second ball purple

Required probability = (10/25) × (10/25) = 4/25

⇒ Required probability = 0.16

Quantity B:

0.06

∴ Quantity A > Quantity B