Seven chits are numbered $1$ to $7$. Three are drawn one by one with replacement. The probability that the least number on any selected chit is $5$, is
$1 - {\left( {\frac{2}{7}} \right)^4}$
$4\,{\left( {\frac{2}{7}} \right)^4}$
${\left( {\frac{3}{7}} \right)^3}$
None of these
A fair coin with $1$ marked on one face and $6$ on the other and a fair die are both tossed. find the probability that the sum of numbers that turn up is $12$.
A die is thrown. Describe the following events : $A$ : a number less than $7.$ , $B:$ a number greater than $7.$ Find the $A \cap B$
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 not $B$
Three identical dice are rolled. The probability that same number will appear on each of them will be
If a coin be tossed $n$ times then probability that the head comes odd times is