Cards are drawn one by one without replacement from a pack of $52$ cards. The probability that $10$ cards will precede the first ace is
$\frac{{241}}{{1456}}$
$\frac{{164}}{{4165}}$
$\frac{{451}}{{884}}$
None of these
There are $n$ letters and $n$ addressed envelopes. The probability that all the letters are not kept in the right envelope, is
The probability of getting number $5$ in throwing a dice is
A coin is tossed three times, consider the following events.
$A: $ ' No head appears ', $B:$ ' Exactly one head appears ' and $C:$ ' Atleast two heads appear '
Do they form a set of mutually exclusive and exhaustive events?
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 $A$ and $B$
Three coins are tossed once. Find the probability of getting at most $2$ heads.