6. A pair of dice are rolled once (so will have two numbers show up when we roll the pair). The sample space is S= {(1, 1),(1, 2),(1, 3), ..,(6, 5), (6, 6)}. There are 36 elements in the sample %3D ..... space, and they are all equally likely to occur (thus each has probability of -36 of occurring). A. What is the probability that the sum of the two dices is less than or equal to 11?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 7E
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This is not to be turned in, but you should do it. Run the following R code that will simulate the
situation in 6a by rolling a pair of dice 10,000 times. Just copy and paste it into the R console,
and press the enter key.
srolls = 10000
stor= c()
for (i in 1:rolls){
dice1 = sample(6,1)
dice2 = sample(6,1)
sum = dice1+dice2
stor[i] = ifelse(sum <= 11, 1, 0)
%3D
}
prob = sum(stor)/rolls
prob
Is this simulation value close to what you derived in question 6 part
а?
Transcribed Image Text:This is not to be turned in, but you should do it. Run the following R code that will simulate the situation in 6a by rolling a pair of dice 10,000 times. Just copy and paste it into the R console, and press the enter key. srolls = 10000 stor= c() for (i in 1:rolls){ dice1 = sample(6,1) dice2 = sample(6,1) sum = dice1+dice2 stor[i] = ifelse(sum <= 11, 1, 0) %3D } prob = sum(stor)/rolls prob Is this simulation value close to what you derived in question 6 part а?
6. A pair of dice are rolled once (so will have two numbers show up when we roll the pair). The
sample space is S= {(1, 1),(1, 2),(1, 3), ..,(6, 5),(6, 6)}. There are 36 elements in the sample
.....
space, and they are all equally likely to occur (thus each has probability of
36
1.
of occurring).
A. What is the probability that the sum of the two dices is less than or equal to 11?
Transcribed Image Text:6. A pair of dice are rolled once (so will have two numbers show up when we roll the pair). The sample space is S= {(1, 1),(1, 2),(1, 3), ..,(6, 5),(6, 6)}. There are 36 elements in the sample ..... space, and they are all equally likely to occur (thus each has probability of 36 1. of occurring). A. What is the probability that the sum of the two dices is less than or equal to 11?
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