ooo T-Mobile LTE 10:02 AM courses.apexlearning.com A pizza restaurant markets 3

Question

ooo T-Mobile LTE 10:02 AM courses.apexlearning.com 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 4 combo 1s, 2 combo 2s, and 3 combo 3s. 3 Cheese Combo 1 Cheese 2Pepperoni 1Cheese Mr. Jenkins 3 Combo 3 3 Pepperoni Which of the following is a valid conclusion based tree diagram above? O A The probability that Mr. Jenkins will choose a pepperoni pizza at mis 318. 36 OB. The probability that Mr. Jenkins will choose a pepperoni pizza at random is 17 36 O C. The probability that Mr. Jenkins will choose a cheese

Explanation / Answer

C: Cheese, P: Pepperoni

According to the given details, there are:

4 Combo 1's -----> So, 4*3 C and 4*1 P ie 12C, 4P

2 Combo 2's ------> So, 2*2 C and 2*2 P ie 4C, 4P

3 Combo 3's -------> So, 3*1 C and 3*3 P ie 3C, 9P

Total Cheese pizzas = 12 + 4 + 3 = 19

Total Peperroni pizzas = 4 + 4 + 9 = 17

Total number of Pizzas = 19 + 17 = 36

The probability for Peperroni pizza = 17/36

The probability for a Cheese pizza = 19/36

Hence, OPTION B is CORRECT

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