Question

a caterer makes 74 jamaican patties with 3 different types of filling and 2 levels of spiciness. the table shows the number of each type of patty. let x be the event that a patty chosen at random has beef or chicken and is spicy. lola says that there are 10 outcomes in the complement of x. is lola correct? use the drop - down menus to explain. click the arrows to choose an answer from each menu. the number of outcomes in x is choose... . the number of outcomes in the complement of x is choose... . lola is choose...

Explanation:

Step1: Define event X

Event X is a patty chosen at random has beef or chicken and is spicy.

Step2: Calculate number of outcomes in X

The number of spicy beef patties is 12 and the number of spicy chicken patties is 12. So the number of outcomes in X is $12 + 12=24$.

Step3: Calculate total number of patties

The total number of patties is $12 + 15+12 + 15+10 + 10=74$.

Step4: Calculate number of outcomes in complement of X

The number of outcomes in the complement of X is the total number of patties minus the number of outcomes in X, i.e., $74 - 24 = 50$.

Answer:

The number of outcomes in X is 24. The number of outcomes in the complement of X is 50. Lola is incorrect.