Embibe Experts Solutions for Exercise 4: EXERCISE 14.4

Dialling a telephone number an old man forgets the last two digits remembering only that these are different dialled at random. The probability that the number is dialled correctly is

The probability that a man aged $x$ years will die in a year is $p$. The probability that out of $n$ men $M_1,M_2,\dots$ $M_n$, each aged $x$,$M_1$  will die and be the first to die, is

Three athletes $A,B$ and $C$ participate in a race. Both $A$ and $B$ have the same probability of winning the race and each is twice as likely to win as $C$. The probability that $B$ or $C$ wins the race is

Two players $A$ and $B$ throw a die alternately for a prize of $₹ 11/-$ which is to be won by a player who first throws a six. If $A$ starts the game, their respective expectations are

Let $X$ be a set containing $n$ elements. Two subsets $A$ and $B$ of $X$ are chosen at random. The probability that $A\cup B=X$ is

If $A$ and $B$ are any two events, then the probability that exactly one of them occur is

If the integers m and n are chosen at random from $1$ to $100$, then the probability that a number of the form $7^m+7^n$ is divisible by $5$ is

If two events $A$ and $B$ are such that $P\left(A\right)>0$ and $P\left(B\right)\ne 1$, then $P\left(\overline{A}/\overline{B}\right)$ is equal to