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Multiple Choice Question Suppose that P(A)=0.20,P(B)=0.40 and the events are mutually exclusive. What is the probability of A or B occurring? 6 4 0 .os 2

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Multiple Choice Question
Suppose that P(A)=0.20,P(B)=0.40
and the events are mutually exclusive. What is the probability of A or B occurring?
6
4
0
.os
2

Multiple Choice Question Suppose that P(A)=0.20,P(B)=0.40 and the events are mutually exclusive. What is the probability of A or B occurring? 6 4 0 .os 2

Solución

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Dianamaestro · Tutor durante 5 años
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To find the probability of event A or event B occurring, we can use the formula for the probability of the union of two mutually exclusive events:<br /><br />\[ P(A \cup B) = P(A) + P(B) \]<br /><br />Given:<br />\[ P(A) = 0.20 \]<br />\[ P(B) = 0.40 \]<br /><br />Since the events are mutually exclusive, they cannot both occur at the same time. Therefore, the probability of either event A or event B occurring is simply the sum of their individual probabilities:<br /><br />\[ P(A \cup B) = P(A) + P(B) = 0.20 + 0.40 = 0.60 \]<br /><br />So, the probability of A or B occurring is 0.60.<br /><br />The correct answer is:<br />\[ \boxed{0.60} \]
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