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 :
$\frac{9}{35}$
$\frac{18}{35}$
$\frac{24}{35}$
$\frac{3}{35}$
Consider the experiment in which a coin is tossed repeatedly until a head comes up. Describe the sample space.
A pair of a dice thrown, if $5$ appears on at least one of the dice, then the probability that the sum is $10$ or greater is
A card is drawn at random from a pack of cards. What is the probability that the drawn card is neither a heart nor a king
If $A$ and $B$ are mutually exclusive events, then the value of $P (A$ or $B$) is
A card is selected from a pack of $52$ cards. Calculate the probability that the card is an ace of spades.