Carrie rolls 2 fair dice and Work out the probability of

adds the results from each.

getting a total that is a multiple of 4.

Answer : The probability of getting a total that is a multiple of 4 is,

Step-by-step explanation :

Probability : It is defined as the extent to which an event is likely to occur. That means, it is measured by the ratio of the favorable outcomes to the total number of possible outcomes.

Favorable outcomes are:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)    

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)    

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)    

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)    

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)    

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)    

Favorable outcomes for getting a total that multiple of 4 are, (1,3), (2,2), (2,6), (3,1), (3,5), (4,4), (5,3), (6,2), (6,6)

Number of favorable outcomes for getting a total that multiple of 4 = 9

Total number of outcomes = 36

Therefore, the probability of getting a total that is a multiple of 4 is,

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3