A bag contains 5 white and 3 black balls. Two balls are drawn without replacement. The probability that they are of different colors is: MCQ with Answer and Explanation
A bag contains 5 white and 3 black balls. Two balls are drawn without replacement. The probability that they are of different colors is:
A. 15/56
B. 30/56
C. 15/28
D. 30/28
Answer: Option C
Solution (By JKSSB Mock Tests)
P(different) = P(white then black) + P(black then white) = (5/8)(3/7) + (3/8)(5/7) = 15/56 + 15/56 = 30/56 = 15/28. This accounts for both orders of drawing.
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