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Jeffery is playing a game with two spinners below:

Jeffrey will win a prize if the sum of the two spinners is an even number. What are all of the possible outcomes of spinning the two spinners?

3, 6, 9, 12}

{1, 2, 3, 4, 6, 8}

{3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

Jeffery is playing a game with two spinners below Jeffrey will win a prize if the sum of the two spinners is an even number What are all of the possible outcome class=

Respuesta :

The possible outcomes for Jeffrey in spinning the two spinner is {3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. The smallest possibility is the the two yellow which is 1 and 2 that results to 3 and the larges possible is 4 and 8 the should be 12. 

The correct answer is:


{3, 4, 5, 6, 7, 8, 9, 10, 11, 12} .


Explanation:


The sample space for rolling these two spinners is:


(1, 2), (1, 4), (1, 6), (1, 8)

(2, 2), (2, 4), (2, 6), (2, 8)

(3, 2), (3, 4), (3, 6), (3, 8)

(4, 2), (4, 4), (4, 6), (4, 8)


This gives us the sums:

3, 5, 7, 9

4, 6, 8, 10

5, 7, 9, 11

6, 8, 10, 12


As a set, these are:

{3, 4, 5, 6, 7, 8, 9, 10, 11 12}

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