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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? Choose the best answer. Choose $1$ answer: $\newline$ (A) $51 \%$ $\newline$ (B) $66 \%$ $\newline$ (C) $71 \%$ $\newline$ (D) $81 \%$

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Find probabilities using the addition rule

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? Choose the best answer. Choose

1

answer:

\newline

(A)

51 \%

\newline

(B)

66 \%

\newline

(C)

71 \%

\newline

(D)

81 \%

Calculate Total Pizzas: First, we need to find the total number of pizzas made. $\newline$ Total pizzas $= \text{Cheese pizzas} + \text{Veggie pizzas} + \text{Pepperoni pizzas} + \text{Sausage pizzas}$ $\newline$ $= 21 + 14 + 23 + 14$
Find Not Cheese Pizzas: Now, we calculate the total number of pizzas made. $\newline$ Total pizzas = $21 + 14 + 23 + 14$ $\newline$ = $72$
Calculate Probability: Next, we need to find the number of pizzas that are not cheese pizzas. $\newline$ Not cheese pizzas $=$ Total pizzas $-$ Cheese pizzas $\newline$ $= 72 - 21$
Convert to Percentage: We calculate the number of pizzas that are not cheese pizzas. $\newline$ Not cheese pizzas = $72 - 21$ $\newline$ = $51$
Perform Percentage Calculation: Now, we calculate the probability that the next pizza made is not a cheese pizza. $\newline$ Probability (Not cheese) = $\frac{\text{Not cheese pizzas}}{\text{Total pizzas}}$ $\newline$ = $\frac{51}{72}$
Round to Nearest Whole: We convert the fraction to a percentage to match the answer choices. $\newline$ Probability (Not cheese) in percentage = $(51 / 72) \times 100\%$
Round to Nearest Whole: We convert the fraction to a percentage to match the answer choices. $\newline$ Probability (Not cheese) in percentage = $(51 / 72) \times 100\%$ We perform the percentage calculation. $\newline$ Probability (Not cheese) in percentage = $(51 / 72) \times 100\%$ $\newline$ $\approx 70.83\%$
Round to Nearest Whole: We convert the fraction to a percentage to match the answer choices. $\newline$ Probability (Not cheese) in percentage = $(51 / 72) \times 100\%$ We perform the percentage calculation. $\newline$ Probability (Not cheese) in percentage = $(51 / 72) \times 100\%$ $\newline$ $\approx 70.83\%$ We round the percentage to the nearest whole number to match the answer choices. $\newline$ Rounded probability $\approx 71\%$

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