Does your conclusion match intuition

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Imagine you roll 2 fair 6-sided dice.

(a) Let C denote the event that the sum of the dice is 3. Let B denote the event that the first die is a 1. Show that C and B either are or are not independent. Intuitively, why does your conclusion make sense?

(b) Let A denote the event that the sum of the dice is 7. Show that A and B either are or are not independent. Does your conclusion match your intuition?

Reference no: EM131215217

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