If the occurrence of one event means that another cannot happen, then the events are
(a) Bayesian
(b) Empirical
(c) Independent
(d) Mutually exclusive
Answer
662.1k+ views
Hint: In order to solve this problem, we need to understand the definition of all the terms. Independent events are events which have not any kind of dependence on each other. On the other hand, mutually exclusive events are events which cannot occur at the same time.
Complete step by step answer:
We are told that if one event occurs then another cannot happen.
When the occurrence of two events are not possible simultaneously then these events are called mutually exclusive events.
Let’s first understand mutually exclusive events.
Let's understand by taking an example of a company who has a budget of 50 lacs.
And the projects available project a that is of 40 lacs and project B that is of 15 lacs.
Therefore, we cannot sign two projects at a time either one event is performed or the second.
Therefore, event A and event B are mutually exclusive events.
We can also understand it better by taking an example of rolling a die.
When a random die is thrown there is no chance that two events will occur simultaneously.
Therefore, these two events are mutually exclusive events.
So, the correct answer is “Option d”.
Note: We cannot mix mutually exclusive events with independent events. Independent events have no impact on the viability of other options. In the example of rolling a die, the event of getting a number and getting a number once again with another throw has no relation in them. Thus, these events are independent events, while the events where we get two numbers at one roll is impossible. So, these events are mutually exclusive events.
Complete step by step answer:
We are told that if one event occurs then another cannot happen.
When the occurrence of two events are not possible simultaneously then these events are called mutually exclusive events.
Let’s first understand mutually exclusive events.
Let's understand by taking an example of a company who has a budget of 50 lacs.
And the projects available project a that is of 40 lacs and project B that is of 15 lacs.
Therefore, we cannot sign two projects at a time either one event is performed or the second.
Therefore, event A and event B are mutually exclusive events.
We can also understand it better by taking an example of rolling a die.
When a random die is thrown there is no chance that two events will occur simultaneously.
Therefore, these two events are mutually exclusive events.
So, the correct answer is “Option d”.
Note: We cannot mix mutually exclusive events with independent events. Independent events have no impact on the viability of other options. In the example of rolling a die, the event of getting a number and getting a number once again with another throw has no relation in them. Thus, these events are independent events, while the events where we get two numbers at one roll is impossible. So, these events are mutually exclusive events.
Recently Updated Pages
If x a + bt + ct2 where x is in meters and t is in class 11 physics CBSE

A car covers the first half distance between two places class 11 physics CBSE

The resultant of two vectors overrightarrow P and overrightarrow class 11 physics CBSE

Find the value of cos 135 class 11 maths CBSE

A mass M is held in place by an applied force F and class 11 physics CBSE

A solution of glucose in water is labelled as 10 dfracwv class 11 chemistry CBSE

Trending doubts
One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Find the value of the expression given below sin 30circ class 11 maths CBSE

What do you mean by retardation What is its SI uni class 11 physics CBSE

Draw a diagram of nephron and explain its structur class 11 biology CBSE

10 examples of friction in our daily life

Difference between physical and chemical change class 11 chemistry CBSE

