91Ó°ÊÓ

20 girls, among whom are \(A\) and \(B\) sit down at a round table. The probability that there are 4 girls between \(A\) and \(B\) is : (a) \(\frac{17}{19}\) (b) \(\frac{2}{19}\) (c) \(\frac{13}{19}\) (d) \(\frac{6}{19}\)

Two integers \(x\) and \(y\) are chosen with replacement out of the set \(\\{0,1,2,3, \ldots 10\\}\). Then the probability that \(|x-y|>5\) is: (a) \(\frac{7}{11}\) (b) \(\frac{40}{121}\) (c) \(\frac{35}{121}\) (d) \(\frac{30}{121}\)

The probability that the birthdays of 4 different persons will fall in exactly two calendar months is : (a) \(\frac{77}{1728}\) (b) \(\frac{17}{87}\) (c) \(\frac{11}{144}\) (d) none of these

8 couples (husband and wife) attend a dance show 'Nach Baliye' in a popular TV channel ; A lucky draw in which 4 persons picked up for a prize is held, then the probability that there is atleast one couple will be selected is : (a) \(\frac{8}{39}\) (b) \(\frac{15}{39}\) (c) \(\frac{12}{13}\) (d) none of these

The probability that a leap year selected at random contains either 53 Sundays or 53 Mondays, is : (a) \(\frac{17}{53}\) (b) \(\frac{1}{53}\) (c) \(\frac{3}{7}\) (d) none of these