The table shows the number of bags of different flavors of potato chips on an store shelf. A customer will randomly select a bag from the shelf. Which information on the table? $\newline$ a. The flavor is most likely to be plain. $\newline$ b. The flavor is twice as likely to be jalapeno than ranch. $\newline$ c. The flavor is equally likely to be any of the flavors. $\newline$ d. The flavor is more like to be Ranch than plain or jalapeno. $\newline$ $\newline$ Flavor $\newline$ Number of bags $\newline$ $\newline$ Plain $\newline$ $7$ $\newline$ $\newline$ Jalapeno $\newline$ $13$ $\newline$ $\newline$ Ranch $\newline$ $21$ $\newline$ $\newline$ Nacho Cheese $\newline$ $19$

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Q. The table shows the number of bags of different flavors of potato chips on an store shelf. A customer will randomly select a bag from the shelf. Which information on the table?

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a. The flavor is most likely to be plain.

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b. The flavor is twice as likely to be jalapeno than ranch.

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c. The flavor is equally likely to be any of the flavors.

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d. The flavor is more like to be Ranch than plain or jalapeno.

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Flavor

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Number of bags

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Plain

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7

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Jalapeno

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13

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Ranch

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21

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Nacho Cheese

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19

Rephrase Question: First, let's rephrase the ＂What is the likelihood of selecting each flavor of potato chips from the store shelf based on the given data?＂
Analyze Bag Numbers: To answer the question, we need to analyze the number of bags for each flavor and compare them to determine the likelihood of selecting each flavor.
Calculate Total Bags: Let's calculate the total number of bags of potato chips on the shelf by adding the number of bags for each flavor. $\newline$ Total number of bags $= \text{Number of Plain bags} + \text{Number of Jalapeno bags} + \text{Number of Ranch bags} + \text{Number of Nacho Cheese bags}$ $\newline$ Total number of bags $= 7 + 13 + 21 + 19$ $\newline$ Total number of bags $= 60$
Determine Flavor Likelihood: Now, let's determine the likelihood of selecting each flavor: $\newline$ - The likelihood of selecting a Plain bag is $7$ out of $60$ . $\newline$ - The likelihood of selecting a Jalapeno bag is $13$ out of $60$ . $\newline$ - The likelihood of selecting a Ranch bag is $21$ out of $60$ . $\newline$ - The likelihood of selecting a Nacho Cheese bag is $19$ out of $60$ .
Identify Most Likely Flavor: We can see that the likelihood of selecting a Ranch bag is the highest since it has the greatest number of bags $21$ out of $60$ .
Compare Jalapeno and Ranch: To determine if the likelihood of selecting a Jalapeno bag is twice as likely as selecting a Ranch bag, we compare their probabilities: $\newline$ Likelihood of selecting a Jalapeno bag = $\frac{13}{60}$ $\newline$ Likelihood of selecting a Ranch bag = $\frac{21}{60}$ $\newline$ Since $13$ is not half of $21$ , the statement that Jalapeno is twice as likely as Ranch is incorrect.
Check for Equal Selection Likelihood: To check if the flavors are equally likely to be selected, we compare the number of bags for each flavor. Since the numbers are different for each flavor, it is not equally likely to select any of the flavors.
Conclusion: Finally, since the number of Ranch bags ( $21$ ) is greater than the number of Plain bags ( $7$ ) and Jalapeno bags ( $13$ ), the flavor is more likely to be Ranch than Plain or Jalapeno.