#### Answer

$0.4313$

#### Work Step by Step

The birthdays of people are independent, therefore we can use the substitution rule: $P(no \ people \ have \ the \ same \ birthday)=\frac{365}{365 } \cdot \frac{364}{365 } \cdot \frac{363}{365 } \cdot \frac{362}{365 } \cdot ... \frac{341}{365 } \cdot=0.4313$