PP-VennDiagrams-Solutions

# PP-VennDiagrams-Solutions - Practice Problem 60 of the...

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Practice Problem: 60% of the students at a certain school wear neither a ring nor a necklace. 20% wear a ring and 30% wear a necklace. NOTE: this is what the completed Venn Diagram would look like. Each part should be labeled so that it is mutually exclusive of the other parts (i.e. each part of the entire R circle should add together to get the overall P(R).) a. If one the students is randomly selected, what is the probability that this student is wearing a ring or a necklace? Shade the appropriate area in the Venn Diagram at the left; also calculate your answer using the formulas provided.
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Unformatted text preview: probability outside of the circles (neither ring nor necklace) is 60%, so there must be 40% inside the circles: (± ² ³) ´ µ ¶ (± ² ³) · ´ µ ¶ ¸¹ º ´ »»»»¸¹ ¼ b. If one the students is randomly selected, what is the probability that this student is wearing a ring and a necklace? Shade the appropriate area in the Venn Diagram at the left; also calculate your answer using the formulas provided. Since we know (± ² ³) ´ ¸¹ ¼ , we can solve for (± ½ ³) : (± ² ³) ´ (±) ¾ (³) ¶ (± ½ ³) »»»»»»»»»»»¸¹ ¼ ´ ¸¹ ¿ ¾ ¸¹ À ¶ (± ½ ³) So: (± ½ ³) ´ ¸¹ ¿ ¾ ¸¹ À ¶ ¸¹ ¼ ´ »»»¸¹ µ 0.1 0.2 0.1 0.6 R N...
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• Fall '15
• Hale
• 20%, 60%, 40%, 30%

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