When we roll one die, we have a 1 in 6 probability of
getting any particular...
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When we roll one die, we have a 1 in 6 probability ofgetting any particular number on the die.  When we rollboth dice, there are 36 different permutations of total pairs thatcan be produced, yet only 11 actual distinct values.
Explain how the probability associated with the roll ofeach individual die in the pair explains the higher variability inthe total outcome of the roll of each pair. Discuss how thisaffects what you think about when we discuss the notion ofdegree of freedom.
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A standard die has six sides printed with little dots numbering 1 2 3 4 5 and 6 If the die is fair and we will assume that all of them are then each of these outcomes is equally likely Since there are six possible outcomes the probability of obtaining any side of the die is 16 The probability of rolling a 1 is 16 the probability of rolling a 2 is 16 and so on But what happens if we add another die What are the probabilities for rolling two dice To correctly determine the probability of a dice roll we need to know two things The size of the sample space or the set of total possible outcomes How often an event occurs In probability an event is a certain subset of the sample space For example when only one die is rolled as
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