Question

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 .

Answer 1

(a) 1/6

(b) 1/4

Explanation:

Formula for theoretical probability:

`probability=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}`

(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

`P=(1)/(6)`

(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

`P=(1)/(4)`

Answer 2

1/6, 1/4.

Explanation:

The theoretical probability of rolling a 2 on a single roll of a number cube is 1/6, because there are 6 numbers ( 1 to 6) on a cube.

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 1/4, because there are 4 different colours on the spinner.