An integer is chosen at random and squared. The probability that the last digit of the square is $1$ or $5$ is
$\frac{2}{{10}}$
$\frac{3}{{10}}$
$\frac{4}{{10}}$
$\frac{9}{{25}}$
A die is thrown repeatedly until a six comes up. What is the sample space for this experiment ?
Consider the experiment of rolling a die. Let $A$ be the event 'getting a prime number ', $B$ be the event 'getting an odd number '. Write the sets representing the events $^{\prime}$ not $A\,^{\prime}$.
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?
A letter is chosen at random from the word $\mathrm {'ASSASSINATION'}$. Find the probability that letter is a vowel.
A coin is tossed. If the out come is a head, a die is thrown. If the die shows up an even number, the die is thrown again. What is the sample space for the experiment?