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Suppose you roll two dice, one EIGHT-sided die (labeled 1,2,3,4,5,6,7,8) and one FOUR-sided die (labeled 1,2,2,4). You record the MAXIMUM of the two dice (ie the largest number you rolled). For example, if you roll a 5 on the EIGHT-sided die and a 2 on the FOUR-sided die you would record a 5. If you roll a 2 on the EIGHT-sided die and a 2 on the FOUR-sided die you would record a 2. (a) Write down a probability model for this experiment. That means write down all the possi- ble outcomes and their associated probabilities. (b) Calculate the probability you record an odd number. (c) Calculate the probability you record a number less than 4.

Suppose you roll two dice, one EIGHT-sided die (labeled 1,2,3,4,5,6,7,8) and one FOUR-sided die (labeled 1,2,2,4). You record the MAXIMUM of the two dice (ie the largest number you rolled). For example, if you roll a 5 on the EIGHT-sided die and a 2 on the FOUR-sided die you would record a 5. If you roll a 2 on the EIGHT-sided die and a 2 on the FOUR-sided die you would record a 2. (a) Write down a probability model for this experiment. That means write down all the possi- ble outcomes and their associated probabilities. (b) Calculate the probability you record an odd number. (c) Calculate the probability you record a number less than 4.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 9CYU
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Suppose you roll two dice, one EIGHT-sided die (labeled 1,2,3,4,5,6,7,8) and one FOUR-sided die (labeled 1,2,2,4). You record the MAXIMUM of the two dice (ie the largest number you rolled). For example, if you roll a 5 on the EIGHT-sided die and a 2 on the FOUR-sided die you would record a 5. If you roll a 2 on the EIGHT-sided die and a 2 on the FOUR-sided die you would record a 2. (a) Write down a probability model for this experiment. That means write down all the possi- ble outcomes and their associated probabilities. (b) Calculate the probability you record an odd number. (c) Calculate the probability you record a number less than 4. (d) Calculate the probability you record an odd number AND a number less than 4. (e) Calculate the probability you record an odd number OR a number less than 4. (f) Calculate the probability you record a number less than 4 given that you rolled a 1 on the FOUR-sided die.
Transcribed Image Text:Suppose you roll two dice, one EIGHT-sided die (labeled 1,2,3,4,5,6,7,8) and one FOUR-sided die (labeled 1,2,2,4). You record the MAXIMUM of the two dice (ie the largest number you rolled). For example, if you roll a 5 on the EIGHT-sided die and a 2 on the FOUR-sided die you would record a 5. If you roll a 2 on the EIGHT-sided die and a 2 on the FOUR-sided die you would record a 2. (a) Write down a probability model for this experiment. That means write down all the possi- ble outcomes and their associated probabilities. (b) Calculate the probability you record an odd number. (c) Calculate the probability you record a number less than 4. (d) Calculate the probability you record an odd number AND a number less than 4. (e) Calculate the probability you record an odd number OR a number less than 4. (f) Calculate the probability you record a number less than 4 given that you rolled a 1 on the FOUR-sided die.
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