MIT2_017JF09_p08

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

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 2

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online