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You are up for your annual job performance review. You estimate there's a 30% chance you'll get apromotion, a 40% chance of a raise, and a 10% chance of getting both a raise and a promotion.What is the probability that you get at least one of the offers?

User Ashli
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1 Answer

20 votes
20 votes

Given the following question:

30% chance of getting a promotion

40% chance of getting a raise

10% chance of getting both

We need to find the probability that we get atleast one of the following.


\begin{gathered} \text{First we convert the percents into decimals:} \\ p=30/100=0.3 \\ r=40/100=0.4 \\ b=10/100=0.1 \\ =0.30,0.40,0.10 \\ \end{gathered}

Now that we have our decimals we calculate the probability:


\begin{gathered} 0.30,0.40,0.10 \\ =0.30+0.40-0.10 \\ 0.30+0.40=0.70 \\ 0.70-0.10=0.60 \\ 0.60=0.6 \\ 0.6 \end{gathered}

The probability of you getting both will be "0.6."

User Orakull
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