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 February 16th, 2009, 08:15 PM #1 Newbie   Joined: Feb 2009 Posts: 2 Thanks: 0 Roulette Probability HELP!! In the game Roulette, a ball spins on a circular wheel that is divided into 38 arcs of equal length, numbered 00, 0, 1, 2, ... , 35, 36. The number on the arc on which the ball stops is the outcome of one play of the game. The numbers are also colored as follows: 1, 3, 5, 7, 9, 12, 14, 16, 18, 19, 21, 23, 25, 27, 30, 32, 34, 36 are red, 2, 4, 6, 8, 10, 11, 13, 15, 17, 20, 22, 24, 26, 28, 29, 31, 33, 35 are black, 0, 00 are green. Define the following events: A: { Outcome is an even number (0 and 00 are considered neither odd nor even) B: { Outcome is a red number } C: { Outcome is a green number } D: { Outcome is a low number 1-18 Find the following probablilities: (a) P(D) = 18/ 38 (b) P(A U B) = (c) P(A n B n C) = I figured out A) because there is a total sample space of 38 and there are 18 numbers between 18-1. For B) I keep getting the wrong answer. First I would think that the outcome being and even number would make A be 18/36 and B 18/36 since there are only 18 reds and there are 18 even numbers. But that's how far I get and then I have no idea what the answer would be. C) I am entirely confused. would you make a Venn Diagram to find the intersection of A,B, and C? Any input is appreciated. Thanks February 18th, 2009, 08:56 PM #2 Global Moderator   Joined: Nov 2006 From: UTC -5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms Re: Roulette Probability HELP!! Let |X| denote the number of members of X, so (for example) |A| = 18. |A union B| = |A| + |B| - |A intersect B| = 36 - |A intersect B|. You need to subtract out the even red numbers -- just count them, if nothing else. |B intersect C| = 0 since no wedges are both red and green. Tags probability, roulette Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Rollsroyce Probability and Statistics 1 October 17th, 2013 03:12 AM Bucephalus Probability and Statistics 2 January 25th, 2012 03:47 PM bogazichili Advanced Statistics 1 December 21st, 2009 03:50 PM CRGreathouse Advanced Statistics 1 May 19th, 2009 05:37 PM Stephy7878 Algebra 1 February 18th, 2009 12:56 PM

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