Two ordinary fair dice are rolled and three events are: X: the sum of the two numbers

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Two ordinary fair dice are rolled and three events are:

X: the sum of the two numbers rolled is 6.

Y: the difference between the two numbers rolled is zero.

Z: both of the numbers rolled are even.

a. List the outcomes that are favourable to:

i. X and Y

ii. X and Z

iii. Y and Z.

b. What do your answers to part a tell you about the events X,Y and Z?

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