R D Sharma Solutions for Chapter: Probability, Exercise 3: EXERCISE 33.3

A committee of two persons is selected from two men and two women. What is the probability that the committee will have no man ?

A committee of two persons is selected from two men and two women. What is the probability that the committee will have one man.

A committee of two persons is selected from two men and two women. What is the probability that the committee will have two men$?$

If odds in favour of an event be $2: 3,$ find the probability of occurrence of this event.

If odds against an event be $7:9$, and the probability of non-occurrence of this event is $\frac{x}{16}$, then find the value of $x$.

Two balls are drawn at random from a bag containing $2$ white, $3$ red, $5$green and $4$black balls, one by one without, replacement. Find the probability that both the balls are of different colours.

Two unbiased dice are thrown. Find the probability that neither a doublet nor a total of $8$ will appear.

What are the odds in favour of getting a spade if a card is drawn from a well-shuffled deck of cards? What are the odds in favour of getting a king?