M L Aggarwal Solutions for Chapter: Probability, Exercise 3: EXERCISE

A bag contains $5$ red, $6$ white and $7$ black balls. Two balls are drawn at random. What is the probability that both balls are red or both are black?

A bag contains $5$ white, $7$ red and $4$ black balls. Four balls are drawn one by one with replacement. The probability that none is white is ${\left(\frac{11}{16}\right)}^p$, then find the value of $p$. 

A bag contains $1$ white, $5$ red and $4$ black balls. If three balls are drawn one by one without replacement, then find the probability of drawing a white ball followed by two red balls.

From a bag containing $20$ tickets, numbered from $1$ to $20$, two tickets are drawn at random. Find the probability that

both the tickets have prime numbers on them

From a bag containing $20$ tickets, numbered from $1$ to $20$, two tickets are drawn at random. Find the probability that

on one there is a prime number and on the other there is a multiple of $4$.

An urn contains $4$ red and $7$ blue balls. Two balls are drawn at random with replacement. Find the probability of getting $2$ red balls.

An urn contains $4$ red and $7$ blue balls. Two balls are drawn at random with replacement. Find the probability of getting one red and one blue ball.

Three balls are drawn one by one without replacement from an urn containing $3$ white,  $3$ red and $3$ black balls. What is the probability that at least one ball is red?