Mathematics

A box contains 2 white and 3 blue identical marbles. If two marbles are picked…

A box contains 2 white and 3 blue identical marbles. If two marbles are picked at random, one after the other without replacement, what is the probability of picking two marbles of different colors?

  • A.
    2/3
  • B.
    3/5
  • C.
    2/5
  • D.
    7/20
  • E.
    3/10
Correct Answer: Option B
Explanation

Total number of marbles = 5; 1st pick = 2/5 2nd pick = 3/4; 3rd pick = 3/5; 4th pick = 2/4
∴ Probability of picking two marbles of different colors = (2/5 x 3/4) + (3/5 + 2/4) = 12/20 = 3/5