Pls I need alot of help Grace and her friends are playing a game that uses two dice. Each die is a tetrahedron –

a four‐sided shape with each side an equilateral triangle. Each side of the die contains

one of the digits 1, 2, 3, or 4.

a. Create the sample space of all possible outcomes if you were to roll the two dice

simultaneously. List the digit on the first die first and the digit on the second die

second (i. e. 1,1; 1,2; and so on.) (10 points)

b. What is the theoretical probability that the sum of the two numbers on a roll will

be five? (2 points)

c. If Grace and her friends were to roll the two dice 100 times, how many of the

100 times could they expect to roll the same number on each die? (In other

words, the outcome would be 1,1 or 2,2 or 3,3 or 4,4.) (4 points)

Step-by-step explanation:

Very interesting problem. Be thankful it is not a six sided dice.

Part A

1  1

1  2

1  3

1  4

2  1

2  2

2  3

2  4

3  1

3  2

3  3

3  4

4  1

4  2

4  3

4 4

Part B

There are 16 possible out comes

1   4

4  1

2  3

3  2

4 out of the 16 outcomes are possible

P(5) = 4/16 = 0.25

Part C

The theoretical out come would be 4 times

4/16 = 0.25

On a hundred rolls, you would expect to get 25 sets of doubles.

The correct answers are:

a.

1  1   1  2    1  3    1  4    2  1    2  2    2  3    2  4

3  1   3  2   3  3    3  4    4  1   4  2    4  3    4  4

b.

4 possible outcomes!

c.

25 sets!

Step-by-step explanation:

a.

Try making a probability by using the counting principle method.

1  1   1  2    1  3    1  4    2  1    2  2    2  3    2  4

3  1   3  2   3  3    3  4    4  1   4  2    4  3    4  4

These numbers are the possible outcomes. Each 2 numbers stand for 1 outcome.

b.

16 possible outcomes

1   4    4  1    2  3    3  2

4/16 possible

P(5) = 4/16 = 0.25

c.

The theoretical outcome = 4 times

4/16 = 0.25

25 sets of rolls are expected to be rolled on the same number per 100 rolls.

I hope this helps! Have a good day ;)

Please mark this as brainliest please! I would appreciate it! :)

the range of a function is the range of y-values for which it is defined, or exists. given that we are only looking at the y-values, we can already discount the first two answers as they deal with the domain of the function (range of x-values).

now, what we need to do is find the smallest and highest y-values for which the function is defined. if you'd like, you could take a ruler and start at the very bottom of the graph, find the lowest point, then move the ruler higher and higher until you reach the highest point. doing so either in your head or with an actual ruler, we can see that the lowest y-value is -5 and the highest y-value is -1.

the question now remains as to whether they are included in the range (fourth answer) or excluded (third answer). the key here is to recognise whether they are marked with an open or a closed circle. since both (-2, -5) and (2, -1) are marked with a closed circle, they are points that exist on the graph and are thus included in the range (note that if they were marked with an open circle like (4, -2) then that would signify that there is a break in the graph at that point).

thus, the fourth answer, (y | -5 ≤ y ≤ -1), is correct.

also note that usually it is good practice to scan your eye inbetween the highest and lowest point for any breaks in the graph - we do have one here at (4, -2), however -2 is still included in the range because there is another point that is included in the graph with the same y-value, ie. point (1, -2).

i hope that but if you require any further explanation don't hesitate to comment below.

just find the gcf and solve the gcf's until you get each answer i have a really good feeling somethings missing xd (like the dimensions of the fence) *cough *cough *hint *hint

step-by-step explanation: