Asked by Maurice Edwards on May 29, 2024

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If events A and B are compatible, how do we calculate the probability of their disjunction?

A) Subtract the probability of A from the probability of B.
B) Add the probability of A to the probability of B.
C) Add the probability of A to the probability of B and then subtract the probability of A and B both occurring.
D) Multiply the probability of A by the probability of B.
E) Divide the probability of A by the probability of B.

Compatible Events

Events in probability that can occur together without contradiction; they are not mutually exclusive.

Disjunction

A logical operator that yields true if either or both of the operands are true.

Probability

The measure of the likelihood that an event will occur, often represented as a number between 0 and 1.

  • Distinguish between the methods to calculate the probability of disjunctions and conjunctions in multiple events.
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ZK
Zybrea KnightJun 04, 2024
Final Answer :
C
Explanation :
When events A and B are compatible, it means they can both occur at the same time. In this case, we can calculate the probability of their disjunction (either A or B occurring) by adding the probability of A to the probability of B and then subtracting the probability of A and B both occurring. This is because if we simply add the probabilities of A and B, we will be double-counting the probability of both A and B occurring. Therefore, option C is the correct choice.