Abhijit Guha Solutions for Chapter: Probability, Exercise 2: Practice Problems Level 2

One ball is drawn at random from a bag having eight yellow, seven blue and six black balls. What is the probability that it is neither yellow nor black?

In a box, there are $12$ blue balls, $X$ red balls and $20$ green balls. Probability of choosing one red ball from the given box is $\frac{1}{3}$. Then find the sum of red and blue balls in the box?

One bag contains four white balls and two black balls. Another bag contains three white balls and five black balls. If one ball is drawn from each bag, what is the probability that one is white and another is black?

Mohan rolled a pair of dice together. What is the probability that one dice showed a multiple of $2$ and the second dice showed nether a multiple of $3$ nor of $2$?

An urn contains three red, six blue, two green and four yellow balls. If four balls are drawn at random, what is the probability that at least one is yellow?

There are four red balls, four green balls and six blue balls in a box. If two balls are drawn at random, what is the probability that at least one of them is blue?

A class of $30$ students occupy a classroom containing five rows of seats, with eight seats in each row. If the students seat themselves at random, the probability that the sixth seat in the fifth row will be empty is:

When a student is selected from a class consisting of $25$ girls and a certain number of boys, the probability of the student being a boy is $\frac{3}{8}$. If two students were selected from this class, what would be the probability of exactly one girl and one boy being selected?