R D Sharma Solutions for Chapter: Probability, Exercise 2: EXERCISE

From a pack of $52$ cards, two are drawn one by one without replacement. Find the probability that both of them are kings.

From a pack of $52$ cards, $4$ are drawn one by one without replacement. Find the probability that all are aces (or, kings). 

Find the chance of drawing $2$ white balls in succession from a bag containing $5$ red and $7$ white balls, the ball first drawn not being replaced.

A bag contains $25$ tickets, numbered from $1$ to $25.$ A ticket is drawn and then another ticket is drawn without replacement. Find the probability that both tickets will show even numbers.

An urn contains $3$ white, $4$ red and $5$ black balls. Two balls are drawn one by one without replacement. What is the probability that at least one ball is black?

Three cards are drawn successively, without replacement from a pack of $52$ well shuffled cards. What is the probability that first two cards are kings and third card drawn is an ace?

A box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale otherwise it is rejected. Find the probability that a box containing $15$ oranges out of which $12$ are good and $3$ are bad ones will be approved for sale.

A bag contains $4$ white, $7$ black and $5$ red balls. Three balls are drawn one after the other without replacement. Find the probability that the balls drawn are white, black and red respectively.