Probability Question 227

Question: A party of 23 persons take their seats at a round table. The odds against two persons sitting together are

[RPET 1999]

Options:

A) 10 : 1

B) 1 : 11

C) 9 : 10

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

Required probability $ =\frac{(21)!2!}{(22)!}=\frac{1}{11}=\frac{1}{1+10} $ . \ Odds against = 10 : 1.