![praveen35301](/avatars/47461.jpg)
praveen35301
21.02.2020 •
Mathematics
Simulate the rolling of two dice 10,000 times. (b) Identify which rolls of the dice are in the event A, the dice add up to a perfect square (4 or 9). Determine what proportion of the 10,000 rolls are in A. (c) Identify which rolls of the dice are in the event B, the dice add up to an even number. Determine what proportion of the 10,000 rolls are in B. (d) Find out which rolls are in A ∩ B. Find the proportion that are in A ∩ B. How does that compare to the proportion in A multiplied by the proportion that are in B?
Solved
Show answers
More tips
- F Family and Home How to Remove Fading from Clothes: Tips and Tricks...
- F Food and Cooking How to Make Polendwitsa at Home?...
- F Family and Home Parents or Environment: Who Has the Most Influence on a Child s Upbringing?...
- P Philosophy Unbelievable stories of encounters with otherworldly forces...
- L Leisure and Entertainment How to Choose the Perfect Gift for Men on February 23rd?...
- H Health and Medicine How to Treat Whooping Cough in Children?...
- H Health and Medicine Simple Ways to Lower Cholesterol in the Blood: Tips and Tricks...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
Answers on questions: Mathematics
- M Mathematics I’m so confused on how to find the answer to this...
- M Mathematics The width of a rectangle is 8t - 8.5 feet and the length is 8.5t + 10 feet. Find the perimeter of the rectangle....
- M Mathematics The measure of arc XY is 85 degrees. The measure of arc WZ is 25 degrees. What is the measure of angle 3?...
- M Mathematics The Kelton s are going on vacation 987 miles away. They drive 460 miles day one and 340 miles day two. How many miles left until they reach their final destination? 7.NS...
- M Mathematics First find the missing operation in each rule. Then write th 63 diagram as a number sentence, and solve it to find themnumber.721. 18Rule2. 86613601213.5Rulex 20• 10010...
- M Mathematics Question is attached...
- M Mathematics Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 9 feet and a height of 10 feet. Container B has a radius of...
- M Mathematics Let g be the function defined by g(x) = 2*. In the xy-plane, which of the following statements about the graph of y = g(x) is true? A The graph of y = g (2) is below the x-axis...
- M Mathematics Use Newton s Method to approximate cos x = x...
- M Mathematics Please help... Geometry conditional Probability...
Ответ:
Answer explained below
Step-by-step explanation:
(a)
Simulate the rolling of two dice 10,000 times D1 and D2 are the 10,000 results of roll of dice 1 and dice 2.
D1 = sample(c(1:6), 10000, replace = TRUE)
D2 = sample(c(1:6), 10000, replace = TRUE)
Sum = D1 + D2
(b)
The event A, the dice add up to a perfect square (4 or 9).
A = Sum[Sum == 4 | Sum ==9]
Proportion of A, P(A) = 0.189
length(A) / length(Sum)
(c)
The event B, the dice add up to an even number.
B = Sum[Sum %% 2 == 0]
Proportion of B, P(B) = 0.5049
length(B) / length(Sum)
(d)
The rolls are in A ∩ B (common to both A and B)
> intersect(A,B)
[1] 4
The proportion that are in A ∩ B is 0.0792
length(Sum[Sum == 4]) / length(Sum)
P(A) * P(B) = 0.189 * 0.5049 = 0.0954
The proportion in A multiplied by the proportion that are in B is not equal to P(A ∩ B)
(e)
Of the rolls in which B occurs, the proportion of those rolls are also in A is 0.4190476
length(Sum[Sum == 4]) / length(A)
This proportion is greater than the P(A) calculated in part (b).
Ответ:
Terms that have no answer, has no "meaning", or has no worth or value in an equation of any sort.
Step-by-step explanation: