The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is a divisor of 2". Find P(A).Outcome Probability1 0.092 0.253 0.094 0.075 0.226 0.027 0.048 0.049 0.0210 0.16
Question
The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is a divisor of 2". Find P(A).Outcome Probability1 0.092 0.253 0.094 0.075 0.226 0.027 0.048 0.049 0.0210 0.16
Solution
The event A is "the outcome is a divisor of 2". The divisors of 2 are 1 and 2.
From the table, the probability of the outcome being 1 (P(1)) is 0.09 and the probability of the outcome being 2 (P(2)) is 0.25.
The probability of event A, P(A), is the sum of the probabilities of these outcomes.
So, P(A) = P(1) + P(2) = 0.09 + 0.25 = 0.34.
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