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

• 1/3

• 1/6

• 2/7

• 1/2

#### 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