A card is drawn at random from a well shuffled pack of $52$ cards. The probability of getting a two of heart or diamond is
$\frac{1}{{26}}$
$\frac{1}{{52}}$
$\frac{1}{{13}}$
None of these
Two dice are thrown and the sum of the numbers which come up on the dice is noted. Let us consider the following events associated with this experiment
$A:$ $^{\prime}$ the sum is even $^{\prime}$.
$B:$ $^{\prime}$the sum is a multiple of $3$$^{\prime}$
$C:$ $^{\prime}$the sum is less than $4 $$^{\prime}$
$D:$ $^{\prime}$the sum is greater than $11$$^{\prime}$.
Which pairs of these events are mutually exclusive ?
The probability that a marksman will hit a target is given as $1/5$. Then his probability of at least one hit in $10$ shots, is
Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is
Three coins are tossed. Describe Two events which are mutually exclusive but not exhaustive.
A letter is chosen at random from the word $\mathrm {'ASSASSINATION'}$. Find the probability that letter is a vowel.