In a relay race there are five teams $A, \,B, \,C, \,D$ and $E$. What is the probability that $A, \,B$ and $C$ finish first, second and third, respectively.

Four coins are tossed. The probability that at least one head turns up, 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 : $A$ and $B^{\prime }$ are mutually exclusive

The probability of drawing a white ball from a bag containing $3$ black balls and $4$ white balls, is

An experiment involves rolling a pair of dice and recording the numbers that come up. Describe the following events:

$A:$ the sum is greater than $8$,

$B : 2$ occurs on either die

$C:$ the sum is at least $ 7$ and a multiple of $3.$

Which pairs of these events are mutually exclusive ?