Probability Class 12 Mathematics Notes has been updated according to the latest syllabus of 2080. It means the notes of probability chapter provided in this article contains all the new exercise that has recently been updated. Now you don’t need to go anywhere searching for the notes of this chapter because we are here to serve you.

## Chapter – 11

__Probability__

We have already discussed about the basic things of probability in grade XI. We hav also ved some of the problems of probability without using combination. Now in grade XII, w deal and sholve the problem of probability using combination and we also deal the dependent events and then the conditional probability.

### Mutually exclusive cases (events)

Two or more events are said to be mutually exclusive if their simultaneous occurrence is not possible. If a coin is tossed either head or tail will occur, so head and tail are two mutually mlusive events.

## Probability Class 12 Mathematics Notes PDF

This PDF will provide the solutions of every question from the 1st exercise of class 12 probability chapter. Since this chapter has only one exercises, you don’t have to search for other exercises.

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### Favourable cases

The cases or the outcomes of a random experiment which entail the happening of an event we known as the cases favourable to that event.le throwing a die, the cases favourable to “getting an odd numbers” are 3.

### Independent cases (Events)

Two events are said to be independent if the occurrence of one event does not effect the scurrence of the other. If a coin and a die are thrown, the turning head up in a coin will not flect the getting I on the die.

### Permutation and Combination

Permutation of a set of objects means the arrangement of objects in some order. Below, we The some of the important formula without their proofs,

The total number of permutation of a set of a different objects taken at a time denoted by P (n,r) or nP is given by;

where n factorial = factorial n = 1.2.3……. n

### Combination

Combination of a set of objects means the selection of objects without regard to any order of arrangement. The total number of selections of a set of n different objects taken r at a time denoted by C (n, r) and is given by;

### Definition of Probability

If there are in exhaustive, mutually exclusive and equally likely cases and m of them are favourable to an event E, then the probability of the happening of an event E denoted by P (E) is defined by

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