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.
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%