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Reading Lesson: 'T-
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Data Analysis and Probability
Probabilities involving two rolls of a die
Ja'hm

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An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events.
Event 
A : The sum is greater than 8 .
Event 
B : The sum is an odd number.
Write your answers as fractions.
(a) 
P(A)= 
◻
(b) 
P(B)= 
◻
Explanation
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Clever | Portal\newlineALEKS - Jahmeire Byrd - Leam\newlinewww-awu.aleks.com/alekscgi/x/lsl.exe/1010\_U-IgNsikr77j88P33jH-IQT3434vU8080TVrbEJ33mRw88YqmpbCITJaBajvgokWKzSwZDTjsUzofManNs\newlineNew folder\newlineReading Lesson: 'T-\newlineMy Performance\newlineData Analysis and Probability\newlineProbabilities involving two rolls of a die\newlineJa'hm\newline\newlineAn ordinary (fair) die is a cube with the numbers 11 through 66 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.\newlineCompute the probability of each of the following events.\newlineEvent\newlineAA : The sum is greater than 88.\newlineEvent\newlineBB : The sum is an odd number.\newlineWrite your answers as fractions.\newline(a)\newlineP(A)=P(A)=\newline\newline(b)\newlineP(B)=P(B)=\newline\newlineExplanation\newlineCheck\newlineO 20242024 McGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy Center

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Q. Clever | Portal\newlineALEKS - Jahmeire Byrd - Leam\newlinewww-awu.aleks.com/alekscgi/x/lsl.exe/1010\_U-IgNsikr77j88P33jH-IQT3434vU8080TVrbEJ33mRw88YqmpbCITJaBajvgokWKzSwZDTjsUzofManNs\newlineNew folder\newlineReading Lesson: 'T-\newlineMy Performance\newlineData Analysis and Probability\newlineProbabilities involving two rolls of a die\newlineJa'hm\newline\newlineAn ordinary (fair) die is a cube with the numbers 11 through 66 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.\newlineCompute the probability of each of the following events.\newlineEvent\newlineAA : The sum is greater than 88.\newlineEvent\newlineBB : The sum is an odd number.\newlineWrite your answers as fractions.\newline(a)\newlineP(A)=P(A)=\newline\newline(b)\newlineP(B)=P(B)=\newline\newlineExplanation\newlineCheck\newlineO 20242024 McGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy Center
  1. Calculate total outcomes: Calculate the total number of possible outcomes when a die is rolled twice. Since each die has 66 faces, the total outcomes are 66 (for the first roll) multiplied by 66 (for the second roll).
  2. Identify Event A outcomes: Identify the outcomes where the sum is greater than 88 (Event A). These outcomes are (3,6)(3,6), (4,5)(4,5), (4,6)(4,6), (5,4)(5,4), (5,5)(5,5), (5,6)(5,6), (6,3)(6,3), (6,4)(6,4), (6,5)(6,5), (3,6)(3,6)00. Count these outcomes.
  3. Calculate probability of Event A: Calculate the probability of Event A. Divide the number of favorable outcomes by the total number of outcomes.
  4. Identify Event B outcomes: Identify the outcomes where the sum is an odd number (Event B). These outcomes are (1,2)(1,2), (1,4)(1,4), (1,6)(1,6), (2,1)(2,1), (2,3)(2,3), (2,5)(2,5), (3,2)(3,2), (3,4)(3,4), (3,6)(3,6), (4,1)(4,1), (1,4)(1,4)00, (1,4)(1,4)11, (1,4)(1,4)22, (1,4)(1,4)33, (1,4)(1,4)44, (1,4)(1,4)55, (1,4)(1,4)66, (1,4)(1,4)77. Count these outcomes.
  5. Calculate probability of Event B: Calculate the probability of Event B. Divide the number of favorable outcomes by the total number of outcomes.

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