Embibe Experts Solutions for Exercise 1: Telangana Board-2018

Suppose $A$ and $B$ are independent events with $P\left(A\right)=0.6, P\left(B\right)=0.7$. Then compute $P(B/A)$.

Suppose $A$ and $B$ are independent events with $P\left(A\right)=0.6, P\left(B\right)=0.7$. Then compute $P\left(A^c\cap B^c\right)$.

$A, B, C$ are three horses in a race. The probability of $A$ to win the race is twice that of $B$ and probability of $B$ is twice that of $C$. What are the probabilities of $A, B$ and $C$ to win the race?

A problem in calculus is given to two students $A$, and $B$ whose chances of solving it are $\frac{1}{3}$ and $\frac{1}{4}$ respectively. Find the probability of the problem being solved if both of them try independently,

A bag contains $12$ two rupee coins, $7$ one rupee coins and $4$ half a rupee coins, If three coins are selected at random, then find the probability that the sum of three coins is maximum.

A bag contains $12$two rupee coins, $7$ one rupee coins and $4$ half a rupee coins. If three coins are selected at random, then find the probability that the sum of three coins is minimum.

A bag contains $12$two rupee coins, $7$ one rupee coins and $4$ half a rupee coins. If three coins are selected at random, then find the probability that each coin is different value.

$A,B,C$ are $3$ newspapers from a city. $20\%$ of the population read $A,16\%$ read $B,14\%$ read $\mathrm{C},8\%$ both $A$ and $B,5\%$ both $A$ and $C,4\%$ both $B$ and $C$ and $2\%$ all the three. Find the percentage of the population who read at least one newspaper.