JEE Advanced 2014 Mathematics question

MathematicsProbabilityJEE Advanced 2014

Three boys and two girls stand in a queue. The probability, that the number of boys ahead of every girl is at least one more than the number of girls ahead of her, is

Answer: (A)

Solution

Only the pattern of boys (B) and girls (G) matters: equally likely patterns. The first girl needs at least 1 boy ahead and the second girl at least 2 boys ahead. The queue must start with B; of the remaining 6

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Question ID VK-026352