Question

In a collection of toys, 1/2 are red, 1/2 are waterproof, and 1/3 are cool. 1/4 are red and waterproof. 1/6 are red and cool. 1/6 are waterproof and cool. 1/6 are neither red, waterproof, nor cool. Each toy has an equal chance of being selected.Draw an area diagram to represent these events.

Answer 1

Answer:

only red = 1/12, only water proof = 1/12 , only cool = nil we assume nil for toys with three collections( cool, red, waterproof) as it was not stated.

11/6 are neither red, water proof and cool.  

Step-by-step explanation:

outside the circles contain probability of neither red, cool and water proof. where the circles intersect shows probability of both either red and cool, water proof and cool and water proof and red etc. where all the circles intersect if for the three combinations which is nill. Attached is the diagram

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Answer 2

Answer:

The answer representation is attached below

Step-by-step explanation:

This is a representation on a diagram.

n(R) = Number of red toys

n(WP) Number of water proof toys

n(C) = Number of cool toys

n(R∩WP) = Number of red and waterproof

n(R∩C) = Number of red and cool

n(WP∩C) = Number of waterproof and cool

n(R'∩WP∩C) = Neither red, waterproof nor cool

From the image as depicted on a venn diagram, each part is represented and filled ont the diagram, the small circle space filled represent the information given in the question.