##
**
****Odds in favour and Odds against - Advance Level**

**Odds in favour and Odds against - Advance Level**

**Dear Readers,**

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen.
The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.
.

**Q1.**Odds 8 to 5 against a person who is 40 years old living till he is 70 and 4 to 3 against another person now 50 till he will be living 80. Probability that one of them will be alive next 30 years is

Solution

Probability that one of them will be alive next 30 years is 44/91

Probability that one of them will be alive next 30 years is 44/91

**Q2.**One of the two events must occur. If the chance of one is 2/3 of the other, then odds in favour of the other are

Solution

odds in favour of the other are 3:2

odds in favour of the other are 3:2

**Q3.**If a party of n persons sit at a round table, then the odds against two specified individuals sitting next to each other are

Solution

odds against two specified individuals sitting next to each other are (n-3):2

odds against two specified individuals sitting next to each other are (n-3):2

**Q4.**If odds against solving a question by three students are 2 : 1, 5 : 2 and 5 : 3 respectively, then probability that the question is solved only by one student is

Solution

The probability of happening of at least one of them is 52/77

The probability of happening of at least one of them is 52/77

**Q5.**The chance of an event happening is the square of the chance of a second event but the odds against the first are the cube of the odds against the second. The chances of the events are

Solution

The chances of the events are 1/9 , 1/3

The chances of the events are 1/9 , 1/3