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Seven persons are to be seated in a row. The probability that two particular persons sit next to each other is ______. - Mathematics

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MCQ
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Seven persons are to be seated in a row. The probability that two particular persons sit next to each other is ______.

Options

  • `1/3`

  • `1/6`

  • `2/7`

  • `1/2`

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Solution

Seven persons are to be seated in a row. The probability that two particular persons sit next to each other is `2/7`.

Explanation:

The two particular persons to be seated next each other then, they form one group.

Now the permutation of 6 persons = 6! × 2!

And Total number of permutations of 7 persons = 7!

∴ Required probability = `(6! xx 2!)/(7!)`

= `(6! xx 2)/(7 xx 6!)`

= `2/7`

Concept: Axiomatic Approach to Probability
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APPEARS IN

NCERT Mathematics Exemplar Class 11
Chapter 16 Probability
Exercise | Q 21 | Page 300

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