## How do you find the probability of two dependent events?

Just multiply the probability of the first event by the second. For example, if the probability of event A is 2/9 and the probability of event B is 3/9 then the probability of both events happening at the same time is (2/9)*(3/9) = 6/81 = 2/27.

## Are mutually exclusive and independent the same?

Two events are mutually exclusive when they cannot occur at the same time. For example, if we flip a coin it can only show a head OR a tail, not both. Independent event: The occurrence of one event does not affect the occurrence of the others.

## What is AUB A ∩ B?

Union The union of two sets A and B, written A U B, is the combination of the two sets. Intersection The intersection of two sets A and B, written AnB, is the overlap of the two sets.

## Which of the following is true if A and B are independent?

Hint: Two events are said to be independent if the probability of occurrence of one event is not affected by the occurrence or non-occurrence of the other event, i.e. if A and B are independent events then P(A/B) = P(A).

## Is A and B are two independent events then?

If A and B are independent events, then the events A and B’ are also independent. Proof: The events A and B are independent, so, P(A ∩ B) = P(A) P(B). From the Venn diagram, we see that the events A ∩ B and A ∩ B’ are mutually exclusive and together they form the event A.

## Is disjoint and mutually exclusive the same?

Disjoint events are events that never occur at the same time. These are also known as mutually exclusive events.

## Are dependent events mutually exclusive?

As a matter of fact, mutually exclusive events are dependent events. Consider tossing a coin, the results are mutually exclusive. Because we cannot get the heads and tails in a single toss. At the same time, the occurrence of one preventing another one from happening.