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2 . ( 4 points ) Which sum occurred most often ? 3 . ( 4 points ) Which sum occurred least often ? .

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2 . ( 4 points ) Which sum occurred most often ? 3 . ( 4 points ) Which sum occurred least often ? . ( 40 points ) Now , construct a sample space of equally likely outcomes when rolling a pair of dice and use it to determine the theoretical probability of each sum occurring . Fill in the chart below with your results . ( Note that there are 36 equally likely outcomes of rolling two dice. ) Number of Theoretical Probability of outcomes occurrence for each sum ( round to three decimal Sum of the List of outcomes favorable Favorable to places ) dice to sum sum 1 1 / 36 = 0. 028 2 ( 1 , 1 ) 3 (1 , 2 ) , ( 2 , 1 ) 2 |4 5 6 7 8 9 10 11 12 5 . 14 points ) Are your relative frequency probabilities similar to the theoretical probabilities ? 6 . 14 points) How do you think the relative frequency probabilities would compare to the theoretical probabilities if we rolled the pair of dice 500 times ? 1 , 000 times ? 1 , 000, 000 times ? Please go to Canvas and enter your answers from this lab into the " Chapter 7 Answer Entry Sheet "*

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