What is the formula for mutually exclusive events?

If A and B are said to be mutually exclusive events then the probability of an event A occurring or the probability of event B occurring that is P (a ∪ b) formula is given by P(A) + P(B), i.e., P (A Or B) = P(A) + P(B)

What is the formula for independent events?

Events A and B are independent if the equation P(A∩B) = P(A) · P(B) holds true. You can use the equation to check if events are independent; multiply the probabilities of the two events together to see if they equal the probability of them both happening together.

How do you calculate dependent events?

Dependent events: Two events are dependent when the outcome of the first event influences the outcome of the second event. The probability of two dependent events is the product of the probability of X and the probability of Y AFTER X occurs.

Can you conclude that events A and B are not independent if they are mutually exclusive?

can you conclude that events A and B are not independent if they are mutually exclusive? Explain. Yes. Because P(AB) ≠ P(A), the events A and B are not independent.

What are examples of independent events?

Independent events are those events whose occurrence is not dependent on any other event. For example, if we flip a coin in the air and get the outcome as Head, then again if we flip the coin but this time we get the outcome as Tail. In both cases, the occurrence of both events is independent of each other.

What is dependent and independent event?

An independent event is an event in which the outcome isn’t affected by another event. A dependent event is affected by the outcome of a second event.

CAN A and B be mutually exclusive and independent?

If two events are mutually exclusive then they do not occur simultaneously, hence they are not independent. Yes, there is relationship between mutually exclusive events and independent events.

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