1. Present the probability distribution for the sum of two six-sided dice (i.e., list the possible values of the random variable, X and each value’s corresponding probability). Use the x-axis above and rules of theoretical probability to help you calculate your probabilities. (Hint: there are 36 outcomes.) Present the probabilities as fractions (simplified or not simplified) or decimals (rounded to four decimal places) in a table.
1. Present the
2. Now calculate the theoretical probability that the player lands on “Reading Railroad” on their first turn. Using the probability distribution built in number 1, state this probability as a decimal rounded to four decimal places in a sentence.
3. Calculate the theoretical probability that the player will move no farther than “Reading Railroad” on the first turn. Using the probability distribution built in number 1, state this probability as a decimal rounded to four decimal places in a sentence.
4. Calculate the theoretical probability that the player moves farther than “Reading Railroad” on their first turn. Using the probability distribution built in number 1 state this probability as a decimal rounded to four decimal places in a sentence.
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