Two dice are thrown simultaneously. What is the probability of obtaining sum of the numbers less than $11$
$\frac{{17}}{{18}}$
$\frac{1}{{12}}$
$\frac{{11}}{{12}}$
None of these
The probability of drawing a white ball from a bag containing $3$ black balls and $4$ white balls, is
Two dice are thrown. The events $A, B$ and $C$ are as follows:
$A:$ getting an even number on the first die.
$B:$ getting an odd number on the first die.
$C:$ getting the sum of the numbers on the dice $\leq 5$
Describe the events $A^{\prime }.$
If $A$ is a sure event, then the value of $P (A$ not ) is
Let $M$ be the maximum value of the product of two positive integers when their sum is $66$. Let the sample space $S=\left\{x \in Z: x(66-x) \geq \frac{5}{9} M\right\}$ and the event $A=\{ x \in S : x$ is a multiple of $3$ $\}$. Then $P ( A )$ is equal to
One card is drawn from each of two ordinary packs of $52$ cards. The probability that at least one of them is an ace of heart, is