Question
A box has 6 red, 5 blue, and 4 green balls. Two balls
are drawn without replacement. Find probability both are of different colors.Solution
Total pairs = 15C2 = 105. Same color: 6C2 + 5C2 + 4C2 = 15 + 10 + 6 = 31. Different = 105 − 31 = 74. Probability = 74/105.
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