Final Answer
It is not 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 blue. The probability that you choose a student who picked red as his or her favorite color is 20%, but the probability that you chose a person who picked another color is 80%.
Step-by-step explanation
The survey results indicate that 20% of students chose red as their favorite color. This implies that there is a 20% chance of selecting a person with red as their favorite color randomly. However, since red is not the majority choice, it is less likely that a randomly chosen person will have red as their favorite color.
Considering the percentages of other colors, it is most likely to choose a person whose favorite color is blue, as it has the highest percentage among the given options. The probability of selecting a person with a favorite color other than red can be calculated by adding the percentages of all other colors. In this case, it would be 100% - 20% = 80%. Therefore, the likelihood of choosing a person with a color preference different from red is 80%.
In summary, while the probability of choosing a person with a favorite color of red is 20%, it is more probable to select someone with a different favorite color, particularly blue, with a probability of 80%.