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.

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