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given that event a has a probability of 0.70.7 and event b has a probability of 0.20.2, calculate the probability of a or b occurring if they are mutually exclusive.

User Fedmich
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Final answer:

To find the probability of either event A or B occurring, if they are mutually exclusive, simply add their probabilities (0.7 + 0.2), resulting in a probability of 0.9.

Step-by-step explanation:

The subject of the schoolwork question is mathematics, specifically dealing with the topic of probability. The student asks for the probability of either event A or event B occurring given that they are mutually exclusive and provides the individual probabilities of each event: P(A) = 0.7 and P(B) = 0.2.

To calculate the probability of A or B occurring when the events are mutually exclusive, you should use the formula P(A OR B) = P(A) + P(B). Since mutually exclusive events cannot occur simultaneously, the probability of A and B occurring together, P(A AND B), is 0. Therefore, the probability of either A or B happening is simply the sum of their probabilities:

P(A OR B) = P(A) + P(B) = 0.7 + 0.2 = 0.9

Therefore, the probability of either event A or event B occurring is 0.9.

User Hossam Oukli
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