Three coins are tossed. Describe Two events which are mutually exclusive.
When three coins are tossed, the sample space is given by
$S =\{ HHH , \,HHT , \,HTH ,\, HTT , \,THH , \,THT , \,TTH , \,TTT \}$
Two events that are mutually exclusive can be
$A:$ getting no heads and $B:$ getting no tails
This is because sets $A=\{T T T\}$ and $B=\{H H H\}$ are disjoint.
A card is selected from a pack of $52$ cards. How many points are there in the sample space?
Let Ajay will not appear in JEE exam with probability $\mathrm{p}=\frac{2}{7}$, while both Ajay and Vijay will appear in the exam with probability $\mathrm{q}=\frac{1}{5}$. Then the probability, that Ajay will appear in the exam and Vijay will not appear is :
There are two childrens in a family. The probability that both of them are boys is
If $P(A) = 0.65,\,\,P(B) = 0.15,$ then $P(\bar A) + P(\bar B) = $
The probability that in a year of the $22^{nd}$ century chosen at random there will be $53$ Sundays is