AMS 5 Chapter Notes - Chapter 13-14: Katgames

• School: UCSC
• Department: Applied Math and Statistics
• Course: AMS 5
• Professor: Yonatan Katznelson

Document Summary

Find the chance of (a) getting 10 sixes (b) not getting 10 sixes (c) all the rolls showing 5 spots or less. On each toss, if the coin lands heads, you win. If it lands tails, you lose . (ii) you draw 100 times at random with replacement from [1][0]. On each draw, you are paid (in dollars) the number on the ticket: option ii, since you aren"t losing money in that game, even though the odds are the same in both scenarios. The rules: you buy a ticket, choose 3 different numbers from 1 to 100, and write them on the ticket. The lottery has a box with 100 balls numbered from 1 through 100. Three balls are drawn at random without replacement. If the numbers on these balls are the same as the numbers on your ticket, you win. (order doesn"t matter. ) . 0001%; 1/100 * 1/99 * 1/98 = 1/970200 ~ . 0001%