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JEE Advanced Mathematics question

MathematicsProbabilityJEE Advanced

A bag contains 14 balls of two colours, the number of balls of each colour being the same. 7 balls are drawn at random one by one. The ball in hand is returned to the bag before each new draw. If the probability that at least 3 balls of each colour are drawn is then

Answer: (A),(C)

Solution

There are 7 balls of each colour, so each draw (with replacement) gives a given colour with probability . With 7 draws, at least 3 of each colour means the

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Question ID VK-109772