A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Do you agree with this statement

No, Mutually exclusive events and Independent events are not the same.

Step-by-step explanation:

Mutually exclusive events and Independent events are not the same.

Mutually Exclusive Events:

Mutually exclusive events are those events that cannot occur together, i. e. they cannot take place at the same time.

For example, the events of tossing a Head and Tails are mutually exclusive. This is because when a coin is flipped it cannot land on both sides at once.

Independent Events:

Independent events are those events that can occur at the same time without affecting each other, i. r. they are not dependent on the occurrence of other events in the sample space.

For example, on rolling two fair die the events of first die rolling 4 and the second die rolling 1 are independent.