When I go to work, there's a 20% probability that I'll forget my office keys and a 30% probability that I'll forget my wallet. If there's a 5% probability that I forget both, then what's the probability that I arrive at work with both my office keys and my wallet?

Enter your answer as a percentage.

AaronWang2004 Feb 20, 2021

#1**+4 **

We can draw a Venn diagram.

office keys || both || wallet

20 || 5 || 30

The probability that you forget your office keys *or* your wallet is 20 + 30 - 5 = 45%.

So, the answer is 1 - 45% = **55%**

CubeyThePenguin Feb 20, 2021