The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is a divisor of 8". Find P(A).Outcome Probability1 0.052 0.33 0.164 0.015 0.056 0.137 0.048 0.079 0.19
Question
The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is a divisor of 8". Find P(A).Outcome Probability1 0.052 0.33 0.164 0.015 0.056 0.137 0.048 0.079 0.19
Solution
The divisors of 8 are 1, 2, 4, and 8.
From the table, the probabilities of these outcomes are:
- For 1, the probability is 0.05
- For 2, the probability is 0.3
- For 4, the probability is 0.01
- For 8, the probability is 0.07
The probability of event A, "the outcome is a divisor of 8", is the sum of these probabilities.
So, P(A) = P(1) + P(2) + P(4) + P(8) = 0.05 + 0.3 + 0.01 + 0.07 = 0.43.
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