Anyone
two standard number cubes are thrown, one after the other. what is the probability that the first cube lands showing a 4 or greater and the second cube lands showing a 4 or smaller?
a 0.167
b 0.333
c 0.444
d 1.167

B

Step-by-step explanation:

4 or greater: 1/2 (4,5,6)

4 or smaller: 2/3 (1,2,3,4)

1/2 * 2/3 = 2/6

2/6 = 1/3

1/3 = 0.333

Step-by-step explanation:

We have given two equations:

3x - y = 15

6x - 2y = 30

Consider A. (6,3)

Plug x= 6 and y = 3 in both the equations And see what we get:

3x - y = 15  

or 3×6 - 3 = 15

or 18 - 3 = 15

or 15 = 15 ,

And

6x - 2y = 30

or 6×6 - 2×3 = 30

or 36 - 6 =30

or 30 = 30

so this point (6,3) is the solution of system of equation  

Next, B. (7 , 6)

Again we do the same steps:

Plug x= 7 and y = 6 in both the equations

3x - y = 15

or 3×7 - 6 = 15

or 21 - 6 = 15

or 15 = 15

And

6x - 2y = 30

or 6×7 - 2×6 = 30

or 42 - 12 =30

or 30 = 30

The point (7,6) is the solution of system of equation

Next, C. (8,9)

Plug x=8 and y =9 in both the equations

3x - y = 15

or 3×8 - 9 = 15

or 24 - 9 = 15

or 15 = 15

And

6x - 2y = 30

or 6×8 - 2×9 = 30

or 48 - 18 =30

or 30 = 30

The point (8,9) is also the solution of system of equation

Hence all the points (6,3),(7,6) and (8,9) are the solution of given system of equations.