MIT2_017JF09_p08

MIT2_017JF09_p08 - 8 PROBABILITY PRIMER WITH DICE 8 12...

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8 PROBABILITY PRIMER WITH DICE 12 8 Probability Primer with Dice You are given two fair dice. 1. Make a plot of the possible outcomes of one toss of one die, versus the likelihood (probability) of that outcome. Clearly there are six possible outcomes, with equal likelihoods of occurring. We call this graph a probability mass function, or pmf. probability 1/6 12 345 6 2 7 1 experiment outcome: x 1 experiment outcome: x 1 + x 2 2. Make a similar plot for a throw of both dice, where the outcome is the sum of the values, i.e., the outcome of a toss giving [3,4] is seven. Your pmf should account for the fact that there are more ways to roll a three ([1+2],[2+1]) than to roll a ([1,1]). Solution: As shown in the ﬁgure, the pmf for the two-throw case has a nice linear structure. The height of each spike follows the possible number of ways the additions

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MIT2_017JF09_p08 - 8 PROBABILITY PRIMER WITH DICE 8 12...

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