From a pack of $52$ cards two are drawn with replacement. The probability, that the first is a diamond and the second is a king, is
$\frac{1}{{26}}$
$\frac{{17}}{{2704}}$
$\frac{1}{{52}}$
None of these
The chances of throwing a total of $3$ or $5$ or $11$ with two dice is
Let two fair dices $A$ and $B$ are thrown. Then the probability that number appears on dice $A$ is greater than number appears on dice $B$ is
An experiment consists of rolling a die and then tossing a coin if the number on the die is even. If the number on the die is odd, the coin is tossed twice. Write the sample space for this experiment.
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 $\leq 5$
State true or false $:$ (give reason for your answer)
Statement : $A$ and $B$ are mutually exclusive
A card is selected from a pack of $52$ cards. Calculate the probability that the card is black card.