3. Lauren and Pat are playing a board game with the spinner shown below. Each se

Question

3. Lauren and Pat are playing a board game with the spinner shown below. Each section of the spinner has a number (1, 2, 3, 4) and a color (R = Red, Y = Yellow, G-Green, and B-Blue). (S-CPA!) 2 R 4 B 4 Y 3 G 1 G 2 Y 3 B 1 R 4 R 2 B 3 Y 4 G 2 G 3 Y 1B 1R a. What subset A of the sample space describes the spinner landing on a green section? b. What subset B of the sample space describes the spinner landing on a section with the number 2? C. What subset C of the sample space, in terms of A and B, describes the spinner landing on a green section with the number 2? d. Use your results from part c to find the subset that describes the spinner landing on any particular color and number combination. e. Which of the sets described in part d are empty?

Explanation / Answer

a)

subset A = {1G,2G,3G,4G}

b)

subset B = {2R,2Y,2G,2B}

c)

subset C = A intersection B

subset C = {2G}

d)

required subset is the intersection of subset describing the spinner landing on the particular color and subset describing the spinner landing on the particular number

e)

empty sets={1R,1Y,1G,1B,2R,2Y,2G,2B,3R,3Y,3G,3B,4R,4Y,4G,4B}-{4B,3G,2Y,1R,2B,4G,3Y,1R,1B,2G,3Y,4R,3B,1G,4Y,2R}

empty sets={1Y,3R }

empty sets are spinner landing on yeloow section with number 1,redsection with number 3

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