M L Aggarwal Solutions for Chapter: Probability, Exercise 4: Chapter Test

A bag contains $18$ balls out of which $x$ balls are white. If one ball is drawn at random from the bag, what is the probability that it is white ball? If $2$ more white balls are put in the bag, the probability of drawing a white ball will be $\frac{9}{8}$ times that of probability of white ball obtained previously. Find the value of $x$.

A coin is tossed three times. Find the probability of getting one tail.

A coin is tossed three times. Find the probability of getting two tails.

A coin is tossed three times. Find the probability of getting atmost one tail.

A coin is tossed three times. Find the probability of getting atmost two tails.

Apoorv throws two dice once and computes the product of the numbers appearing on the dice. Peehu throws one die and squares the numbers that appears on it. Who has the better chance of getting the number $36?$ Why? 

Two dice are thrown at the same time and the product of numbers appearing on them is noted. Find the probability that the product of the numbers lies between $8$ and $13$

Two dice are numbered $1,2,3,4,5,6$ and $1,1,2,2,3,3$ respectively. Find the probability of getting each sum $2$.