Vinod Singh and Shweta Pawar Solutions for Chapter: Probability, Exercise 1: Classical Thinking

If the odds in favour of an event be $3:5$, then the probability of non-occurrence of the event is

An event has odds in favour $4:5$, then the probability that event occurs, is

One and only one of the two events must occur. If the chance of one is $\frac{2}{3}$ of the other, then odds in favour of the other are

In a horse race the odds in favour of three horses are $1:2, 1:3$ and $1:4$. The probability that one of the horse will win the race is

A purse contains $4$ copper coins and $3$ silver coins, the second purse contains $6$ copper coins and $2$ silver coins. A coin is taken out from any purse, the probability that it is a copper coin is

A card is drawn from a pack of $52$ cards. A gambler bets that it is a spade or an ace. What are the odds against his winning this bet

Three ships $A, B$ and $C$ sail from England to India. If the ratio of their arriving safely are $2:5, 3:7$ and  $6:11$, respectively, then the probability of all the ships for arriving safely is

The odds against a certain event is $5:2$ and the odds in favour of another event is $6:5$. If both the events are independent, then the probability that at least one of the events will happen is