There are 6 persons seating on a round table in which two individual have the same names. What is the probability that the two same-named individuals will be neighbors?

**Solution(Method 1):** Total no of ways in which 6 persons can sit on a round table is **(6-1)! = 5! = 120**.

If we consider two same-named individuals as one person there are 5 persons who can sit in **(5-1)!** ways and these individuals can be seated together in **2!** ways.

So, required probability =(2*(5-1)!)/(6-1)!= **2/5**.

So, the answer is 2/5 = **0.4**.

**Solution(Method 2):** We fix one of the same name guy in any position. Now we are left with 5 places out of which 2 can be seated neighbor.

Therefore, the answer is 2/5 = **0.4**.

Attention reader! Don’t stop learning now. Get hold of all the important mathematical concepts for competitive programming with the **Essential Maths for CP Course** at a student-friendly price. To complete your preparation from learning a language to DS Algo and many more, please refer **Complete Interview Preparation Course****.**