5. Two different colored fair dice are thrown. LetE_{1}be the event that the scores are both odd but different, and letE_{2}be the event that the sum of the scores is 8. Are the eventsE_{1}andE_{2}independent? (Note: You must justify your answer!)

How would i go about justifying?

Is my solution ok?

Even value in 1 to 6 are 2,4,6

Number of even value in 1 to 6 are 3

E1 = (3*2)/36 = 1/6

Odd value in 1 to 6 are 1,3,5

Number of odd value in 1 to 6 are 3

E2 = (3*2)/36 = 1/6

Yes, E1 and E2 are equal.

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