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Pat's Pizza made 21 cheese pizzas, 14 veggie pizzas, 23 pepperoni pizzas, and 14 sausage pizzas yesterday.
Based on this data, what is a reasonable estimate of the probability that the next pizza made is not a cheese pizza?
Choose the best answer.
Choose 1 answer:
(A) 51%
(B) 66%
(c) 71%
D 81%

Pat's Pizza made $21$ cheese pizzas, $14$ veggie pizzas, $23$ pepperoni pizzas, and $14$ sausage pizzas yesterday. $\newline$ Based on this data, what is a reasonable estimate of the probability that the next pizza made is not a cheese pizza? $\newline$ Choose the best answer. $\newline$ Choose $1$ answer: $\newline$ (A) $51\%$ $\newline$ (B) $66\%$ $\newline$ (C) $71\%$ $\newline$ (D) $81\%$

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Experimental probability

Full solution

Q. Pat's Pizza made

21

cheese pizzas,

14

veggie pizzas,

23

pepperoni pizzas, and

14

sausage pizzas yesterday.

\newline

Based on this data, what is a reasonable estimate of the probability that the next pizza made is not a cheese pizza?

\newline

Choose the best answer.

\newline

Choose

1

answer:

\newline

(A)

51\%

\newline

(B)

66\%

\newline

(C)

71\%

\newline

(D)

81\%

Calculate total number of pizzas: Calculate the total number of pizzas made. $\newline$ Total number of pizzas $=$ Number of cheese pizzas $+$ Number of veggie pizzas $+$ Number of pepperoni pizzas $+$ Number of sausage pizzas $\newline$ $= 21 + 14 + 23 + 14$ $\newline$ $= 72$
Calculate non-cheese pizzas: Calculate the number of pizzas that are not cheese pizzas. $\newline$ Number of non-cheese pizzas $=$ Total number of pizzas $-$ Number of cheese pizzas $\newline$ $= 72 - 21$ $\newline$ $= 51$
Calculate probability: Calculate the probability that the next pizza made is not a cheese pizza. $\newline$ Probability (not cheese pizza) = $\frac{\text{Number of non-cheese pizzas}}{\text{Total number of pizzas}}$ $\newline$ = $\frac{51}{72}$
Convert to percentage: Convert the probability to a percentage. $\newline$ Probability (not cheese pizza) in percentage = $(\text{Probability (not cheese pizza)}) \times 100\%$ $\newline$ = $\frac{51}{72} \times 100\%$ $\newline$ $\approx 70.83\%$
Choose best answer: Choose the best answer based on the calculated percentage. The calculated percentage is approximately $70.83\%$ , which is closest to $71\%$ . Therefore, the best answer is (C) $71\%$ .

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