Consider an event X comprised of three outcomes whose probabilities are 9/18, 1/18, and 6/18.Compute the probability of the complement of the event.Group of answer choices2/181/216/316/18
Question
Consider an event X comprised of three outcomes whose probabilities are 9/18, 1/18, and 6/18.Compute the probability of the complement of the event.Group of answer choices2/181/216/316/18
Solution
To compute the probability of the complement of the event X, we need to find the probability of all outcomes that are not part of event X.
The probability of the complement of event X is equal to 1 minus the sum of the probabilities of the outcomes in event X.
The probabilities of the outcomes in event X are 9/18, 1/18, and 6/18.
To find the probability of the complement, we subtract the sum of these probabilities from 1:
1 - (9/18 + 1/18 + 6/18) = 1 - 16/18 = 2/18.
Therefore, the probability of the complement of event X is 2/18.
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