Video: Determining the Probability of Complement of a Given Event

Given that the probability of a person being selected for a job is 27%, what is the probability of that person NOT being selected?

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Video Transcript

Given that the probability of a person being selected for a job is 27 percent, what is the probability of that person not being selected?

In this question, 𝑝 of 𝐽, the probability the person gets the job, is equal to 27 percent. As there are only two outcomes in this case, being selected for the job or not being selected for the job, then the probability of not being selected, 𝑝 of 𝐽 dash, is equal to 100 percent minus 27 percent.

100 minus 27 is equal to 73. This means that the probability of the person not being selected is 73 percent. Any time that two events are exhaustive, they must add up to 100 percent. In this case, 𝑝 of 𝐽 plus 𝑝 of 𝐽 dash equals 100 percent.

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