Archie rolls two number cubes each with sides numbered 1 through 6 he then finds the sum of the numbers on the tops of the cubes which two sums have the same probabillity?

Question

A. 3 and 4
B. 5 and 9
C. 5 and 8
D. 10 and 12
i need the work involved and i have another question The graph of 5x-2y=10 intersects the x-axis and y-axis what are the order pairs for these two points of intersection?
A.(2,0) and (0,5)
B.(2,0) and (0,-5)
C.(-2,0) and (0,5)
D.(-2,0) and (0,-5)

Answer 1

to get a 3, you need 2,1 or a 1,2
to get 4, you need 1,3, 3,1;2,2
b. to get 5, 4,1;1,4;2,3;3,2
to get a 9, 5,4;4,5;6,3,3,6 equal probablility for 5 and 9
c. 5 you need 4,1;1,4; 2,3;3,2
8 tyou need 6,2;2,6, 5,3,3,5, 4,4
d. and so one.

Answer 2

okay but can you explain it better plz

Answer 3

neither mind but can u help with the second

Answer 4

For the first part, you really need to make a table to show all of the possible sums

I suggest making a table with 1 -6 across the top and 1-6 down the side..

Then fill in the table by adding the die.
1,1 = 2
1, 2 = 3
You may be able to find a table like this in your book or by searching google. This takes a lot of time to do by yourself.
There are 36 outcomes. You will have to see how many times each sum comes up to answer the question.

For part 2 To find the x or y - intercepts

First you let x = 0 and find y
then you let y = 0 and find x.

Remember (x,y) is the ordered pair.

(x, 0) and (o, y)

replace x and y with the values you found.

Answer 5

i don't get it
can you explain it better plz

Answer 6

to get sum of 1 = 0.
to get sum of 2 = 1/36 since there are 6 options on each die and two die so 6*6 = 36. And the only way to get two is 1+1
to get sum of 3 = 1+2, 2+1, so 1/18
to get 4 = 1,3 2,2 3,1 so 1/12
to get 5 = 2,3 3,2 1,4 4,1 so 1/9

etc etc etc

so after writing them all down, we find that 5 and 9 are equal:

to get 5 = 2,3 3,2 1,4 4,1 so 1/9

to get 9 = 3,6 6,3 4,5 5,4 so 1/9

no other ones because the die only has 6 numbers.

so the answer is B