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The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is divisible by 3". Find P(A).Outcome Probability1 0.182 0.123 0.344 0.025 0.066 0.067 0.118 0.11Submit

Question

The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is divisible by 3". Find P(A).Outcome Probability1 0.182 0.123 0.344 0.025 0.066 0.067 0.118 0.11Submit

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Solution

To find the probability of event A, which is "the outcome is divisible by 3", we need to add up the probabilities of all outcomes that are divisible by 3.

From the table, the outcomes divisible by 3 are 3 and 6.

The probability of outcome 3 is 0.34 and the probability of outcome 6 is 0.06.

So, P(A) = P(3) + P(6) = 0.34 + 0.06 = 0.4

Therefore, the probability of event A is 0.4.

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