# NCERT Solutions for Class 12 Maths Chapter 13 Exercise 13.4

NCERT Solutions for Class 12 Maths Chapter 13 Exercise 13.4 Probability in Hindi Medium as well English Medium updated for academic session 2021-2022. Students of UP Board, MP Board, and other state boards can use these solutions in PDF or Videos format.

All the solutions are free to use without any preregistration.## Class 12 Maths Chapter 13 Exercise 13.4 Solutions

Class: 12 | Mathematics |

Chapter: 13 | Probability |

Exercise: 13.4 | English and Hindi Medium Solution |

### Class 12 Maths Chapter 13 Exercise 13.4 in English and Hindi Medium

### Class 12 Maths Chapter 13 Exercise 13.4 in Videos

#### Condition for Independent Events

Students can get the same solutions from Class 12 Maths in English App and Class 12 Maths in Hindi Medium App.

- Two events E and F are said to be independent if P(E∩F) = P(E).P(F)
- Sometimes there is a confusion between independent events and mutually exclusive events. The term “independent” is defined as “probability of events”, while in the context of mutually exclusive events (subsets of the sample space). In addition, mutually exclusive events never have a common outcome, but independent events may have a common consequence. Clearly, “independent” and “mutually exclusive” do not have the same meaning. In other words, two independent events that have non-parental probabilities of the event may not be mutually exclusive and, conversely, two mutually exclusive events that are likely to occur cannot be independent. .
- If two experiments for each pair of E and F are said to be independent, where E is associated with the first experiment and the second experiment with F, then the probability is that E and F occur simultaneously when Two loss experiments The product of P (E) and P (F) is calculated separately based on two experiments, i.e. P (E ∩F) = P (E). P (F).

###### Sum of all Probabilities is 1

For all possible values of the random variable X, all elements of the sample space are covered. Therefore, the sum of all probabilities in a probability distribution must be one.

##### Mean of a random variable

In many problems, it is desirable to describe some feature of a random variable through a single number that can be calculated from its probability distribution. Some of those numbers are median, median, and mode. In Mathematics Class 12, Chapter 13, we will discuss only the mean. The mean measures the location or central tendency in the sense that it detects the mean or median value of the random variable.