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
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #22936)