Alberto conducted an experiment by rolling a fair six-sided number cube 60 times. He rolled a 2 fifteen times. Which statement about rolling a 2 in Alberto’s experiment is correct?
The experimental probability of rolling a 2 is One-third and the theoretical probability of rolling a 2 is One-fourth.
The experimental probability of rolling a 2 is One-fourth and the theoretical probability of rolling a 2 is One-third.
The experimental probability of rolling a 2 is One-fourth and the theoretical probability of rolling a 2 is One-sixth.
The experimental probability of rolling a 2 is One-sixth and the theoretical probability of rolling a 2 is One-fourth.

Fair six sided die : fair 6 chances

2 rolled 15 times out of 60 rolls

60/6 = 10

The theoretical probability of rolling a 2 is 10/60 or 1/6.

However, he rolled a 2 15 times out of 60 rolls. That means 15/60 or 1/4.

So, the answer would be: "The experimental probability of rolling a 2 is one fourth and the theoretical probability of rolling a 2 is one sixth.

true !

step-by-step explanation:

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