In each of the following experiments specify appropriate sample space A person is noting down the number of accidents along a busy highway during a year.
The number of accidents along a busy highway during the year of observation can be either $0$ (for no accident) or $1$ or $2,$ or some other positive integer. Thus, a sample space associated with this experiment is $S =\{0,1,2, \ldots\}$
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 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 $\leq 5$
Describe the events $A \cap B^{\prime} \cap C^{\prime}$
If in a lottary there are $5$ prizes and $20$ blanks, then the probability of getting a prize is
A bag contains $30$ balls numbered from $1$ to $30$, one ball is drawn randomly. The probability that number on the ball is multiple of $5$ or $7$ is
A bag contains $3$ black and $4$ white balls. Two balls are drawn one by one at random without replacement. The probability that the second drawn ball is white, is