Which statement is true about mutually exclusive events?
a. If either event A or event B must occur, they are called mutually exclusive.
b. P(A) + P(B) = 1 for any events A and B that are mutually exclusive.
c. If events A and B cannot occur at the same time, they are called mutually exclusive.
d. None of these choices are correct.

Respuesta :

b. P(A) + P(B) = 1 for any events A and B that are mutually exclusive.

In probability theory, mutually exclusive events are events that cannot occur simultaneously. For example, rolling a die for a 4 and rolling a die for a 6 are mutually exclusive. This is because you cannot roll a 4 and a 6 at the same time.

Option a is incorrect because mutually exclusive events need not be the only two options. There may be three or more mutually exclusive events.

Option b is false because the probability of two mutually exclusive events occurring is not necessarily one. The probability of two mutually exclusive events occurring is equal to the sum of the individual event probabilities and is usually less than one.

Option d is wrong because one of the possibilities is correct.

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