Answer:
The two events "kids eating pizza" and "kids eating tacos" are independent.
Explanation:
Solution:-
- Denote the following events:
Event ( P ) : kids having pizza for lunch
Event ( T ) : kids having tacos for lunch
- We will interpret each and every statement given in terms of probability of defined events:
- There is a 55% chance of kids having pizza for lunch. Tells us the likely hood of kids having pizza for lunch - Event ( P ) ;
p ( P ) = 0.55
- There is a 20% chance of kids having Tacos for lunch. Tells us the likely hood of kids having Tacos for lunch - Event ( T ) ;
p ( T ) = 0.20
- A 11% chance of kids having pizza and tacos together for lunch. Tells us the likely-hood of two events occurring simultaneously:
p ( T & P ) = 0.11
- We have to investigate whether two defined events ( T ) and ( P ) are independent or not. The condition for independent events is given as:
p ( A & B ) = p ( A ) * p ( B )
- So for the data given to us:
p ( T & P ) = p ( P ) * p ( T )
p ( P ) * p ( T ) = 0.2*0.55 = 0.11
p ( T & P ) = 0.11
Hence,
- The two events Event ( P ) and Event ( T ) are independent events.