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There was an experiment in which two dice are rolled. Three events are defined as follows: X: The sum of the numbers on the two

There was an experiment in which two dice are rolled.

Three events are defined as follows:

X:The sum of the numbers on the two dice is 7.

Y:The sum of the numbers on the two dice is 10.

Z:Each of the two dice shows the same number.

Which of the following events are mutually exclusive and which are not? Explain your answers.

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