From a pack of $52$ cards two are drawn with replacement. The probability, that the first is a diamond and the second is a king, is
$\frac{1}{{26}}$
$\frac{{17}}{{2704}}$
$\frac{1}{{52}}$
None of these
The chance of throwing at least $9$ in a single throw with two dice, is
Two players play the following game: $A$ writes $3,5,6$ on three different cards: $B$ writes $8,9,10$ on three different cards. Both draw randomly two cards from their collections. Then, $A$ computes the product of two numbers helshe has drawn, and $B$ computes the sum of two numbers he/she has drawn. The player getting the larger number wins. What is the probability that A wins?
Two numbers are selected randomly from the set $S = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}$ without replacement one by one. The probability that minimum of the two numbers is divisible by $3$ or maximum of the two numbers is divisible by $4$ , is
The probability that a leap year will have $53$ Fridays or $53$ Saturdays is
The probability of India winning a test match against West Indies is $\frac{1}{2}$. Assuming independence from match to match, the probability that in a $5$ match series India's second win occurs at the third test, is