Assume that Sachin Tendulkar gets out only in an odd-numbered over in a $50$-over one-day international cricket match. Find the probability that he gets out in an over that is a multiple of $9$.

The probability of an impossible event,i.e.,$P(\phi)$,is

Given $f(x) = x^2 - 5x + 4$. If a number $x$ is chosen at random from the first $20$ natural numbers,then the probability that the chosen $x$ satisfies the inequality $f(x) > 10$ is

Two dice are thrown simultaneously. The probability of obtaining a total score of $5$ is

Two dice are rolled simultaneously. The probability that the sum of the two numbers on the dice is a prime number is:

Two dice are thrown. The events $A, B$ and $C$ are as follows:
$A:$ getting an even number on the first die.
$B:$ getting an odd number on the first die.
$C:$ getting the sum of the numbers on the dice $\leq 5$.
State true or false: (give reason for your answer)
Statement: $A', B', C$ are mutually exclusive and exhaustive.