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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.

 Feb 20, 2021
 #1
avatar+944 
+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%

 Feb 20, 2021
 #2
avatar+92 
+1

Thanks

AaronWang2004  Feb 20, 2021

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