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1-Answer the following questions about conditional probability and Bayes theorem a. You roll 2 dice and record the sum i. ii. iii. Write the sample space What is the probability of the sum being 10? What is the probability that at least one of the die values was a 6 given that the sum was greater than or equal to 7?

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Ansuser i) then sample spa ce (A)凵 .゜ーぇ o dice are throw! ( ,,) , (1,2) , (1,3) , (m) , (1,5) , ( 1,6) (2,), (212), (23), (24), c 5), (216) (3,), (310), (,3), (3,4), (3,5), (3,6) 12) 7 iilerent CAthe sum bung 1o (416) , cs, 5) , (5,6) , (c,h), (615) ,(b,693 m PCA) m 0.166 こ 36 1リ Prob (at least one value/sum was dneter dice is 6 2.

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