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In a box, there are four marbles of white color and five marbles of black color. Two marbles are chosen randomly. What is the probability that both are of the same color?

Correct Answer: 4/9

Explanation:

Number of white marbles = 4


Number of Black marbles = 5


Total number of marbles = 9


Number of ways, two marbles picked randomly = 9C2


Now, the required probability of picked marbles are to be of same color = 4C2/9C2  +  5C2/9C2


= 1/6 + 5/18


= 4/9.


 


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