#### Answer

$0.81$

#### Work Step by Step

Let A be the event that an American likes to cook, and let B be the event that an American likes to shop.
The addition law of probability is: $P(A\cup B)=P(A)+P(B)-P(A\cap B).$
Hence here: $P(A\cup B)=0.45+0.59-0.23=0.81$