Sean recorded everyone’s number-cube rolls during the game. 1, 6, 2, 1, 5, 4, 2, 2, 1, 4, 5, 1, 3, 4, 1

He stated that the theoretical probability of rolling a 1 is greater than rolling any other number. Explain Sean’s error.

See below. Sean is in error.

Step-by-step explanation:

There are a total of 15 rolls of the cube.

If we count the number of  1's that are rolled we get  5 which is more than any other number. So the EXPERIMENTAL probability of getting a 1 is 5/15 = 1/3.

But this is NOT the THEORETICAL probability.

If we assume that it is a fair cube then the theoretical probability of a 1  is 1/6.

Each number has an equal theoretical probability of 1/6.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

correct answer:

b.(19,-2)