Complete each sentence to make a true statement.

the theoretical probability of rolling a 2 on a single roll of a number cube is .

the theoretical probability of landing on blue on a single spin of a spinner with 1 purple, 1 blue, 1 red, and 1 orange section is .

(a) 1/6

(b) 1/4

Step-by-step explanation:

Formula for theoretical probability:

(a)

We need to find the theoretical probability of rolling a 2 on a single roll of a number cube.

Total outcomes = 6

Favorable outcomes = 1

The theoretical probability of rolling a 2 on a single roll of a number cube is

(b)

We need to find the theoretical probability of landing on blue on a single spin of a spinner with 1 purple, 1 blue, 1 red, and 1 orange section is

Total outcomes = 4

Favorable outcomes = 1

The theoretical probability of landing on blue on a single spin of a spinner with 1 purple, 1 blue, 1 red, and 1 orange section is

stops on an even number.

step-by-step explanation:

given that ab is divided into equal parts as

ac, cd, de, ef, fg, gh, hi, ib.

from this we find that f is the midpoint of ab.

so using mid point formula we find

f = (3,7)

similarly considering fb, we get

h = mid point of fb = ((6,6) and g, mid point of fh is

g = (9/2, 13/2)

i is mid point of hb

so i =(15/2,11/2)