A dice marked with digit $\{1, 2, 2, 3, 3, 3\} ,$ thrown three times, then the probability of getting sum of number on face of dice is six, is equal to :-
$\frac{7}{216}$
$\frac{44}{216}$
$\frac{14}{216}$
None
The probability that two randomly selected subsets of the set $\{1,2,3,4,5\}$ have exactly two elements in their intersection, is :
An urn contains $6$ white and $9$ black balls. Two successive draws of $4$ balls are made without replacement. The probability, that the first draw gives all white balls and the second draw gives all black balls, is:
$4$ cards are drawn from a well-shuffled deck of $52$ cards. What is the probability of obtaining $3$ diamonds and one spade?
If a leap year is selected at random, what is the change that it will contain $53$ Tuesdays ?
$3$ numbers are chosen from first $15$ natural numbers, then probability that the numbers are in arithmetic progression