A coin is tossed and a dice is rolled. The probability that the coin shows the head and the dice shows $6$ is
$\frac{1}{8}$
$\frac{1}{{12}}$
$\frac{1}{2}$
$1$
The probability of obtaining an even prime number on each die, when a pair of dice is rolled is
The chances of throwing a total of $3$ or $5$ or $11$ with two dice is
An experiment consists of recording boy-girl composition of families with $2$ children. What is the sample space if we are interested in the number of girls in the family?
A coin is tossed until a head appears or until the coin has been tossed five times. If a head does not occur on the first two tosses, then the probability that the coin will be tossed $5$ times is
‘$X$’ speaks truth in $60\%$ and ‘$Y$’ in $50\%$ of the cases. The probability that they contradict each other narrating the same incident is