InterviewSolution
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Quantity 2: A bag contains 25 balls which are red, green and blue. The probability of picking a red ball first is 2/5. If the first ball was red and without keeping it back, probability of picking a blue ball is 1/3, find the number of green balls.1). Quantity 1 > Quantity 22). Quantity 1 < Quantity 23). Quantity 1 ≥ Quantity 24). Quantity 1 ≤ Quantity 2 |
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Answer» Solving for Quantity 1: Probability of picking a blue ball = no. of blue balls/20 = 2/5 ⇒ No. of blue balls = 40/5 = 8 Probability of picking EITHER a red or blue ball = (no. of red balls + no. of blue balls) /20 = ¾ ⇒ No. of red balls + no. of blue balls = 15 ⇒ No. of red balls = 15 – 8 = 7 ⇒ Quantity 1 = 7 Solving for Quantity 2: Probability of picking a red ball first = no. of red balls/25 = 2/5 ⇒ No. of red balls = 10 Probability of picking a blue ball without keeping the first ball BACK = no. of blue balls/24 = 1/3 ⇒ No. of blue balls = 8 ⇒ No. of green balls = 25 – (10 + 8) = 25 – 18 = 7 ⇒ Quantity 2 = 7 ∴ Quantity 1 = Quantity 2 |
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