Subject Experts Solutions for Chapter: Probability, Exercise 1: Target Exercise

A medical test machine gives the correct report in $3$ out of $5$ times. Three patients$A, B$ and $C$ got their checkups done on the same machine, what is the probability that the majority of them got the correct report?

Two persons $A$ and $B$ appear in an interview for two vacancies. If the probabilities of their selections are $\frac{1}{4}$ and $\frac{1}{6}$ respectively, then the probability that none of them is selected, is

There are $100$ letters and $100$ corresponding envelopes. If the letters are put in the envelopes, what is the probability that exactly one letter will go in the wrong envelope?

Mohan lies on $3$ days out of $7$ days in a week, whereas Ram lies on $4$ days out of $6$ days in a week. If both of them were asked a question, what is the probability that both gave a true reply?

From a set of numbers from $1$ to $250$, one number is selected at random. What is the probability that either it is a multiple of $5$ or a multiple of $4$.

A coin is tossed $5$ times. What is the probability of getting number of heads more than the number of tails?

A bag which has got $5$ pairs of yellow socks, $6$ pairs of blue socks and $4$ pair of black socks. If $2$ socks are selected at random, what is the probability that they will form a white pair?

An unbiased dice is rolled twice, what is the probability of not getting a $2$ in anyone of the two rolls?