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 0.0362 0.0423 0.0974 0.0225 0.0876 0.0737 0.2798 0.364
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 0.0362 0.0423 0.0974 0.0225 0.0876 0.0737 0.2798 0.364
Solution
The divisors of 8 are 1, 2, 4, and 8.
From the table, we can see that:
- The probability of the outcome being 1 is 0.036
- The probability of the outcome being 2 is 0.042
- The probability of the outcome being 4 is 0.022
- The probability of the outcome being 8 is 0.364
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) = 0.036 + 0.042 + 0.022 + 0.364 = 0.464.
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