Probability · Class 12 · CBSE · Science Mathematics

A bag contains 5 red balls and 3 blue balls. Two balls are drawn successively without replacement. What is the probability that the second ball is re…

Practice question from Probability (Class 12 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-1B81FE

A bag contains 5 red balls and 3 blue balls. Two balls are drawn successively without replacement. What is the probability that the second ball is red, given that the first ball drawn is blue?

  1. A.5/8
  2. B.5/7Correct answer
  3. C.3/7
  4. D.1/2

Solution

Given that the first ball is blue, 7 balls remain, of which 5 are red. Therefore, P(second red∣first blue)=57P(\text{second red}\mid\text{first blue})=\frac{5}{7}.

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