Telangana Board Solutions for Exercise 2: Exercise 9(b)

Two dice are rolled. If the probability that none of the dice shows the number $2$ is $\frac{a}{b}$, then find $a+b$

In an experiment of drawing a card at random from a pack, the event of getting a spade is denoted by $\mathrm{A}$ and getting a pictured card (King, Queen or Jack) is denoted by $\mathrm{B}$. Find the probabilities of $A,B,A\cap B$ and $A\cup B$.

In a class of $60$ boys and $20$ girls, half of the boys and half of the girls know cricket. Find the probability of the event that a person selected from the class is either a boy, or a girl knowing cricket.(Answer in fraction)

In a committee of $25$ members, each member is proficient either in mathematics or in statistics or in both. If $19$ of these are proficient in mathematics, $16$ in statistics, find the probability that a person selected from the committee is proficient in both.(Answer in fraction)

On a festival day, a man plans to visit $4$ holy temples $A,B,C,D$ in a random order, Find the probability that he visit (i) $A$ before $B$.(ii) $A$ before $B$ and $B$ before $C$. 

From the employees of a company, $5$ persons are selected to represent them in the managing committee of the company. The particulars of $5$ persons are as follows :

$\begin{array}{|lllc|}\hline \text{ S.Ne. }& \text{ Name }& \text{ Sex }& \text{ Age in years }\\ 1.& \text{ Harish }& \text{ M }& 30\\ 2& \text{ Rohan }& \text{ M }& 33\\ 3.& \text{ Sheetala }& \text{ F }& 46\\ 4.& \text{ Alis }& \text{ F }& 28\\ 5.& \text{ Salim }& \text{ M }& 41\\ \hline\end{array}$

A person is selected at random from this group to act as a spokesperson. Find the probability that the spokesperson will be either male or above $35$ years.(Answer in fraction)

Out of $100$ students, two sections of $40$ and $60$ are formed. If you and your friend are among the $100$ students, find the probability that you both enter the same section.(Answer in fractions)

Out of $100$ students, two sections of $40$ and $60$ are formed. If you and your friend are among the $100$ students, find the probability that you both enter the different sections.(Answer in fraction)