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Events A and B are mutually exclusive. Suppose event A occurs with a probability of 0.33 and...

Question:

Events A and B are mutually exclusive. Suppose event A occurs with a probability of 0.33 and event B occurs with a probability of 0.5.

a. Compute the probability that A does not occur or B does not occur (or both).

b. Compute the probability that either A occurs without B occurring or A and B both occur.

Mutually Exclusive Events:

Two events are said to be mutually exclusive events when the occurrence of one event ceases the occurrence of another event. The intersection of two mutually exclusive events is a null event. If "A" and "B" are two mutually exclusive events then,

{eq}(A \cap B) = \phi {/eq}

Answer and Explanation:

Given:

{eq}P(A) = 0.33 \\[1ex] P(B) = 0.50 {/eq}

Events A and B are mutually exclusive. So:

{eq}P(A \cap B) = 0 {/eq}


a) The probability that...

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Mutually Exclusive in Statistics: Definition, Formula & Examples

from High School Algebra II: Help and Review

Chapter 25 / Lesson 8
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