A bag contains 5 white and 3 black balls. Two balls are drawn at random. The probability that the drawn balls are of different colours, is equal to
Answer & explanation
Correct answer: option 2
Drawn balls should be such that one of them is white and another is black.
Total ways of drawing two balls $={ }^8 C_2=28$
Total number of favourable ways $={ }^5 C_1 . { }^3 C_1=15$
Thus, required probability $=\frac{15}{28}$