Amit M Agarwal Solutions for Chapter: Fundamentals of Probability, Exercise 2: Work Book Exercise 21.2

In a single cast with two dice, the odds against drawing $7$ is

If the letters of the word $ATTEMPT$ are written down at random, then the chance that all $T^{\text{'}}\mathrm{s}$ are consecutive, is

Let $x={33}^n$. The index $n$ is given a positive integral value at random. The probability that the value of $x$ will have $3$ at the unit's place, is

$10$ apples are distributed at random among $6$ persons. The probability that at least one of them will receive none is

A point is selected at random from the interior of a circle. The probability that the point is close to the centre than the boundary of the circle, is

Three dice are thrown. The probability of getting a sum which is a perfect square, is

Three six-faced dice are thrown together. The probability that the sum of the numbers appearing on the dice $k \left(3\le k\le 8\right)$, is

An unbiased die with faces numbered $\left\{1,2,3,4,5,6\right\}$ is thrown $n$ times and the list of $n$ numbers showing up is noted. Then, the probability that among the numbers $\left\{1,2,3,4,5,6\right\}$ only three numbers appear in this list, is