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
$\frac{{{{51}^4}}}{{{{52}^5}}} \times 5{C_1} \times 4!$
$\frac{{{{51}^4}}}{{{{52}^5}}} \times 4!$
$\frac{{{{51}^4}}}{{{{52}^5}}}$
$\frac{{{{51}^5}}}{{{{52}^5}}}$
A bag contains $8$ black and $7$ white balls. Two balls are drawn at random. Then for which the probability is more
A binary number is made up of $16$ bits. The probability of an incorrect bit appearing is $p$ and the errors in different bits are independent of one another. The probability of forming an incorrect number is
If a leap year is selected at random, what is the change that it will contain $53$ Tuesdays ?
Fifteen persons among whom are $A$ and $B$, sit down at random at a round table. The probability that there are $4$ persons between $A$ and $B$, is
A bag contains $3$ white and $5$ black balls. If one ball is drawn, then the probability that it is black, is