Question

a survey was conducted at a local elementary school. students were asked to identify their favorite color. the percentages of students who chose each color are shown. use this information to answer the questions below. if you choose a student at random, is it likely that you will pick someone whose favorite color is red? it ✔️ likely that you will choose a person whose favorite color is red. it is most likely that you will choose a person whose favorite color is ✔️. the probability that you choose a student who picked red as his or her favorite color is ✔️%, but the probability that you choose a person who picked another color is ✔️%.

Explanation:

Step1: Determine the probability of choosing a person whose favorite color is red

From the table, the percentage of students who chose red as their favorite color is \(45\%\). Since \(45\%> 50\%\) is not True (\(45\%<50\%\)), it is not likely (in the sense of more - than - half chance). But when we consider the general definition of probability in terms of likelihood (a \(45\%\) chance is a significant chance compared to other colors in the table).

Step2: Calculate the probability of choosing a student who picked red or another color

The probability of choosing a student who picked red is \(P(\text{red}) = 45\%\). The probability of choosing a student who picked another color (green, purple, or blue) is \(P(\text{other})=10\% + 20\%+25\%=55\%\)

Answer:

It is likely that you will choose a person whose favorite color is red (because \(45\%\) is a relatively high proportion among the given options). The probability that you choose a person who picked another color is \(55\%\)