From a book containing $100$ pages, one page is selected randomly. The probability that the sum of the digits of the page number of the selected page is $11$, is
$\frac{2}{{25}}$
$\frac{9}{{100}}$
$\frac{{11}}{{100}}$
None of these
Let $E$ and $F$ be two independent events. The probability that both $E$ and $F$ happen is $\frac{1}{12}$ and the probability that neither $E$ nor $F$ happens is $\frac{1}{2}$ , then a value of $\frac{{P(E)}}{{P\left( F \right)}}$ is
In a single throw of two dice, the probability of getting more than $7$ is
Two coins (a one rupee coin and a two rupee coin) are tossed once. Find a sample space.
Two numbers are selected randomly from the set $S = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}$ without replacement one by one. The probability that minimum of the two numbers is divisible by $3$ or maximum of the two numbers is divisible by $4$ , is
For the two events $A$ and $B$, $P(A) = 0.38,\,$ $P(B) = 0.41,$ then the value of $P(A$ not) is