A die is thrown, find the probability of following events: A number less than or equal to one will appear,
The sample space of the given experiment is given by
$S=\{1,2,3,4,5,6\}$
Let $C$ be the event of the occurrence of a number less than or equal to one.
Accordingly, $C\{1\}$
$\therefore P(C)=\frac{\text { Number of outcomes favourable to } C}{\text { Total number of possible outcomes }}=\frac{n(C)}{n(S)}=\frac{1}{6}$
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 : $A=B^{\prime}$
If $A$ is a sure event, then the value of $P (A$ not ) is
Two dice are thrown simultaneously. What is the probability of obtaining sum of the numbers less than $11$
A die is thrown. Describe the following events : $A$ : a number less than $7.$ , $B:$ a number greater than $7.$ , $C$ : a multiple of $3.$ Find the $B \cup C$
Consider the set of all $7-$digit numbers formed by the digits $0,1,2,3,4,5,6$, each chosen exactly once. If a number is randomly drawn from this set, the probability that it is divisible by $4$ is