Question

A pizza restaurant markets 3 versions of its Crazy Combo: Combo 1 contains

3 cheese pizzas and 1 pepperoni pizza, combo 2 contains 2 cheese pizzas
and 2 pepperoni pizzas, and combo 3 contains 1 cheese pizza and 3
pepperoni pizzas. Mr. Jenkins orders 5 combo 1s, 2 combo 2s, and 3 combo 3s.

Which of the following is a valid conclusion?

A. The probability that Mr. Jenkins Will choose a pepperoni pizza at
random is 11/40.

B. The probability that Mr. Jenkins will choose a
pepperoni pizza at random is 9/10.

C. The probability that
Mr. Jenkins will choose a cheese pizza at
random is 9/20.

D. The probability that Mr. Jenkins will choose a cheese pizza at
random is 11/20.

Answer 1

Explanation:

combo 1 : 3 cheese and 1 pepperoni

combo 2: 2 cheese and 2 pepperoni

combo 3: 1 cheese and 3 pepperoni

he chooses :

5 combo 1's : so thats (5 * 3) = 15 cheese, (5 * 1) = 5 pepperoni

2 combo 2's.....(2*2) = 4 cheese and (2 * 2) = 4 pepperoni

3 combo 3's....3(3 * 1) = 3 cheese and (3 * 3) = 9 pepperoni

added = a total of 22 cheese and 18 pepperoni....thats 40 pizzas

so the probability that he will randomly pick a pepperoni is 18/40 which reduces to 9/20

the probability that he will pick a cheese is 22/40 which reduces to 11/20

so ur answer is D. <===