The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is a divisor of 9". Find P(A).Outcome Probability1 0.192 0.0353 0.3184 0.0055 0.1136 0.0737 0.0658 0.0049 0.01210 0.185Submit
Question
The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is a divisor of 9". Find P(A).Outcome Probability1 0.192 0.0353 0.3184 0.0055 0.1136 0.0737 0.0658 0.0049 0.01210 0.185Submit
Solution
The divisors of 9 are 1, 3, and 9.
From the table, the probabilities of these outcomes are:
- P(1) = 0.19
- P(3) = 0.318
- P(9) = 0.012
The probability of event A, "the outcome is a divisor of 9", is the sum of these probabilities.
So, P(A) = P(1) + P(3) + P(9) = 0.19 + 0.318 + 0.012 = 0.52.
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