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The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is divisible by 4". Find P(A).Outcome Probability1 0.012 0.123 0.114 0.095 0.146 0.027 0.328 0.19

Question

The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is divisible by 4". Find P(A).Outcome Probability1 0.012 0.123 0.114 0.095 0.146 0.027 0.328 0.19

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Solution

The event A is "the outcome is divisible by 4". From the given table, the outcomes divisible by 4 are 4 and 8.

The probability of an outcome is given in the table. So, we add the probabilities of outcomes 4 and 8 to find P(A).

P(A) = P(4) + P(8) = 0.09 + 0.19 = 0.28

So, the probability that the outcome is divisible by 4, P(A), is 0.28.

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