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Prove that in throwing a pair of dice, the occurrence of the number 4 on the first die is independent of the occurrence of 5 on the second die. Select the correct answer from above options

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Here, 4 will occur on first die. But, it will not impact any of the occurance of second die. Second die can contain any number between 1 and 6 including 5. As, number occuring on first die do not have any impact on number occuring 5, Therefore, the occurrence of the number 4 on the first die is independent of the occurrence of 5 on the second die.

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