Word ‘$UNIVERSITY$’ is arranged randomly. Then the probability that both ‘$I$’ does not come together, is
$\frac{3}{5}$
$\frac{2}{5}$
$\frac{4}{5}$
$\frac{1}{5}$
A committee of two persons is selected from two men and two women. What is the probability that the committee will have no man ?
A bag contains $3$ red, $7$ white and $4$ black balls. If three balls are drawn from the bag, then the probability that all of them are of the same colour is
It is $5 : 2$ against a husband who is $65$ years old living till he is $85$ and $4 : 3$ against his wife who is now $58$, living till she is $78$. If the probability that atleast one of them will be alive for $20$ years, is $'k'$, then the value of $'49k'$ -
Three vertices are chosen randomly from the seven vertices of a regular $7$ -sided polygon. The probability that they form the vertices of an isosceles triangle is
If a leap year is selected at random, what is the change that it will contain $53$ Tuesdays ?