liliacariayamm
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My brother has two 1-6 dice. One is black and one is white. He is going to investigate these events: Event A: He rolls a double. Event B: The score on the black dice is smaller than the score on the white dice. Event C: The difference between the two scores is zero. Event D: He gets an odd number on the white dice. Which pairs of events are mutually exclusive? Write the REASON. (1 mark is given to the correct answer with no reason)

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kali123456

Answer:

Events A and C are mutually exclusive because if he rolls a double, the scores on both dice must be the same, so the difference between them cannot be zero.

Events B and C are not mutually exclusive because it is possible for the black and white dice to have the same score, which would satisfy both events.

Events C and D are not mutually exclusive because if the difference between the two scores is zero, it means they have the same score, and it is possible for that score to be odd.

Events A and D are mutually exclusive because if the white dice rolls an odd number, then it is impossible to get a double since the black dice must also roll an odd number to get a double.

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