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Unformatted text preview: The Casino Lab Casinos rely on the laws of probability and expected‘values of random variables to guarantee them
proﬁts on a daily basis. Some individuals will walk away very wealthy, while others" will leave with nothing but memories. This lab is designed to allow you to analyze some of the games of chance that
are typically played in casinos. (Subliminal message: keep your money in your pocket!) STATION 1: CRAPS Roll a pair of six-sided dice. If the sum is 7 or 11, you win. If the sum is 2, 3, or 12, you lose. If the sum is any other number, you roll again. In fact, you continue throwing the dice until you either roll
that number again (WIN!) or roll a 7 (LOSEI). a. SIMULATION I: Play 20 games of craps with your partner. Each of you should throw the dice for
10 times. Record our results in the tables below. Game lSt roll In what proportion of the games did you win on your ﬁrst roll? In what proportion of the games did you win? b. SIMULATION II: Using your TI-83/84/89, you can simulate rolling two dice and obtaining their sum by typing Rand Int( 1 , 6 ) +RandInt ( 1 , 6 ) and pressing ENTER. Simulate 20 games—10
each—using your calculator. Record your results in the tables below. Casino Lab c. Probability Questions 1. What is the probability that you obtain a sum of 7 or a sum of 11 on the ﬁrst roll? 2. What is the probability that you obtain a sum of 2, 3, or 12 on the ﬁrst roll? 3. What is the probability that you roll again after the ﬁrst roll? 4. Suppose you roll a sum of 8 on the ﬁrst roll. Find the probability that you subsequently win the
game, given that you rolled an 8 to start with. d. Tree diagram: Complete the tree diagram shown below for the game of craps. Win (7 or 11) ose (2, 3, or 12) 011 again ’ BONUS: Find the probability that you win at etaps. Chapter 7 ' 2 Casino Lab ...
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- Spring '11