INSTRUCTION: Use the survey result to illustrate the sets and subsets then create a Venn diagram showing the union and intersection of sets. Scenario: You are hosting a party and inviting friends. You conduct a survey of your friends about their preferences for pizza and ice cream, and the results are as follows: some of your friends like pizza, some like ice cream, and some like both. You need to organize your guest list using sets and a Venn diagram. Example Survey Results: Friends' Preferences for Pizza and Ice Cream TASK 1: Define the Sets \begin{tabular}{|l|l|} \hline Set P (Friends who like pizza) & \multicolumn{1}{c|}{ Set I(Friends who like Ice Cream) } \\ \hline 1. Anna & 1. Sarah \\ \( 2 \cdot \) Mark & \( 2 \cdot \) Lisa \\ \( 3 \cdot \) Paul & \( 3 \cdot \) David \\ \( 4 \cdot \) Jake & \( 4 \cdot \) Mia \\ \( 5 \cdot \) Emma & \( 5 \cdot 20 \) e \\ \hline \end{tabular}
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Step 1: Define the Sets - Set P (Friends who like pizza): {Anna, Mark, Paul, Jake, Emma} - Set I (Friends who like ice cream): {Sarah, Lisa, David, Mia, Zoe} Show more…
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1. A survey at an ice cream store revealed the following information: 20 customers like vanilla, 17 like chocolate and 16 like strawberry. Twelve like vanilla and chocolate, 7 like chocolate and strawberry, 10 like vanilla and strawberry and 4 like all three flavours. a) Complete the Venn diagram to illustrate preferences.
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100 students were asked if they like chocolate, vanilla, or strawberry ice cream. The following data were collected: - 56 like chocolate, but 21 of these like only chocolate. - 39 like vanilla, but 11 of these like only vanilla. - 48 like strawberry, but 17 of these like only strawberry. - 13 do not like any of these flavors. - 18 like all three flavors. a) Introduce the corresponding events and create a Venn diagram for these data. b) Given that a student likes chocolate, what is the probability he also likes strawberry? c) Is liking chocolate independent of liking strawberry?
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