From a well shuffled pack of $52$ playing cards, cards are drawn one by one with replacement. Probability that $5^{th}$ card will be "king of hearts" is
$\frac{{{{51}^4}}}{{{{52}^5}}} \times 5{C_1} \times 4!$
$\frac{{{{51}^4}}}{{{{52}^5}}} \times 4!$
$\frac{{{{51}^4}}}{{{{52}^5}}}$
$\frac{{{{51}^5}}}{{{{52}^5}}}$
Out of $40$ consecutive natural numbers, two are chosen at random. Probability that the sum of the numbers is odd, is
A bag contains $5$ white, $7$ black and $4$ red balls. Three balls are drawn from the bag at random. The probability that all the three balls are white, is
Out of $100$ students, two sections of $40$ and $60$ are formed. If you and your friend are among the $100$ students, what is the probability that You both enter the different sections?
Let $X$ be a set containing $10$ elements and $P(X)$ be its power set. If $A$ and $B$ are picked up at random from $P(X),$ with replacement, then the probability that $A$ and $B$ have equal number elements, is