Question

E1 and E2 are mutually exclusive, then E1 and E2=​

Answer 1

Step-by-step explanation:

Mutually exclusive events: Two events E1 and E2 are said to be mutually exclusive if they cannot occur simultaneously, i.e., if E1 ∩ E2 = ∅. Similarly, we can define union and intersection of more than two events. ... The real number P(E) is known as the probability of the event E.

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Answer 2

Answer:

Two events $E_1$ and $E_2$ are said to be mutually exclusive if they cannot occur at the same time, i.e., if $E_1 \cap E_2 = \phi$

Step-by-step explanation:

Mutually exclusive events in probability:

• Two events are mutually exclusive or disjoint in logic and probability theory if they cannot both occur at the same time.
• The results of a single coin flip, which can result in either heads or tails but not both, serve as an obvious illustration.

Events in probability:

An event in probability is a collection of experiment results to which a probability is ascribed.

Hence, two events $E_1$ and $E_2$ are said to be mutually exclusive if they cannot occur at the same time, i.e., if $E_1 \cap E_2 = \phi$

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