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
0
1/4
1/2
1

Explanation:

Step1: Recall probability formula

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$.

Step2: Calculate probability of rolling a 2 on a number - cube

A number cube has 6 faces numbered 1 - 6. The number of favorable outcomes (rolling a 2) is 1, and the total number of outcomes is 6. So the probability is $\frac{1}{6}$.

Step3: Calculate probability of landing on blue on the spinner

The spinner has 4 sections (1 purple, 1 blue, 1 red, 1 orange). The number of favorable outcomes (landing on blue) is 1, and the total number of outcomes is 4. So the probability is $\frac{1}{4}$.

Answer:

The theoretical probability of rolling a 2 on a single roll of a number cube is $\frac{1}{6}$.
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 $\frac{1}{4}$.