For what choice of P are A and B mutually exclusive?

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For what choice of P are A and B mutually exclusive?

If P(A AND B) = 0, then A and B are mutually exclusive.)

What makes two events mutually exclusive?

If two events have no elements in common (Their intersection is the empty set.), the events are called mutually exclusive. Thus, P(A∩B)=0 . This means that the probability of event A and event B happening is zero.

When two events are called mutually exclusive events represent two mutually exclusive sets A and B on a Venn diagram What were these sets called in set theory parlance?

Two sets are mutually exclusive (also called disjoint) if they do not have any elements in common; they need not together comprise the universal set. The following Venn diagram represents mutually exclusive (disjoint) sets. If the union of two mutually exclusive sets is the universal set they are called complementary.

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Are events B and C mutually exclusive?

B and C are mutually exclusive. (B and C have no members in common because you cannot have all tails and all heads at the same time.)

How do you find the probability of two 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 is given as P(A) + P(B) P (A or B) = P(A) + P(B) Some of the examples of the mutually exclusive events are: When tossing a coin, the event of getting head and tail are mutually exclusive.

How do you find the probability of disjoint events?

If A and B are the two events, then the probability of disjoint of event A and B is written by: Probability of Disjoint (or) Mutually Exclusive Event = P (A and B) = 0 In probability, the specific addition rule is valid when two events are mutually exclusive.

What is the probability of P(A and B) if A and B?

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As most of the answers have pointed out, P (A and B) is necessarily 0 if A and B are mutually exclusive. Because the definition of “mutually exclusive” actually MEANS that the probability of P (A and B) is 0!! However, I suspect the questioner really meant: What is the probability of A OR B if A and B are mutually exclusive?

How do you find the probability of the Union of two events?

This implies P [ ⋂n1Ai] = P [∅] = 0. In general, the probability of the union of two events is P [B ⋃ C] = P [B] + P [C] − P [B ⋂ C] . Hence, for mutually exclusive events holds P [ ⋃n1Ai] = n ∑ 1 P [Ai]. Knowing this, you can apply it to your tasks: