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QJEEAdv14Ma75b8: JEE Advanced 2014 Mathematics - Class 12 JEEAdv14Ma75b8 Solution: Three boys and two girls stand in a queue. The probability,…

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

Multiple Choice Options

  • A 12{1 \over 2}
  • B 13{1 \over 3}
  • C 23{2 \over 3}
  • D 34{3 \over 4}

Step-by-Step Verified Solution

Given, 3 boys and 2 girls stand in a queue.

Sample space Math input error

According to the given condition, following cases may arise.

BGGBB Math input error

GGBBB Math input error

GBGBB Math input error

GBBGB Math input error

BGBGB Math input error

So, number of favorable ways Math input error

Required probability =60120=12=\frac{60}{120}=\frac{1}{2}

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