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Could you help me to solve question 11 step by step? and some explanation (11) [15 marks] We roll a standard dice twice. 0 A1

Could you help me to solve question 11 step by step? and some explanation

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(11) [15 marks] We roll a \"standard\" dice twice. 0 A1 is the event that the rst roll is 1 and 31 is the event that the sum of the numbers on the two dice is equal to 5. Calculate Pr[A1], Pr[Bl] and Pr[A1 (1 Bl] and ascertain whether the events A1 and 31 independent? [5 marks] 0 A2 is the event that the maximum of the two rolls is 2 and 82 is the event that minimum of the two rolls is 2. Calculate Pr[A2], Pr[Bg] and Pr[A2 D 32] and ascertain whether the events A2 and 32 independent? [10 marks]

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