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In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and choose the correct option. Quantity A: What is the probability of picking two balls, first red and second white without replacement, from a bag containing 10 red, 10 white and 5 black balls? Quantity B: What is the probability of picking first ball red, and after keeping it back, picking a second ball white, from a bag containing 10 red, 10 white and 5 black balls?

In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and choose the correct option. Quantity A: What is the probability of picking two balls, first red and second white without replacement, from a bag containing 10 red, 10 white and 5 black balls? Quantity B: What is the probability of picking first ball red, and after keeping it back, picking a second ball white, from a bag containing 10 red, 10 white and 5 black balls? Correct Answer Quantity A > Quantity B

Solving for Quantity A:

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

Required probability = probability of picking first ball red × probability of picking second ball white = (10/25) × (10/24) = 1/6

⇒ Quantity A = 0.167

Solving for Quantity B:

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

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

⇒ Quantity B = 0.16

∴ Quantity A > Quantity B

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