A bag contains $5$ white, $7$ red and $8$ black balls. If four balls are drawn one by one without replacement, what is the probability that all are white
$\frac{1}{{969}}$
$\frac{1}{{380}}$
$\frac{5}{{20}}$
None of these
In a single throw of two dice the probability of obtaining an odd number is
In a college, $25\%$ of the boys and $10\%$ of the girls offer Mathematics. The girls constitute $60\%$ of the total number of students. If a student is selected at random and is found to be studying Mathematics, the probability that the student is a girl, is
Let $A$ be the event that the absolute difference between two randomly choosen real numbers in the sample space $[0,60]$ is less than or equal to $a$. If $P(A)=\frac{11}{36}$, then $a$ is equal to $...............$.
A coin is tossed and a dice is rolled. The probability that the coin shows the head and the dice shows $6$ is
Three coins are tossed. Describe Two events which are mutually exclusive.