Question

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?

Answer 1

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.

$\begin{gathered} \text{First we convert the percents into decimals:} \\ p=30\div100=0.3 \\ r=40\div100=0.4 \\ b=10\div100=0.1 \\ =0.30,0.40,0.10 \\ \end{gathered}$

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."