Question

the fair spinner shown is spun 1 time. there are four possible outcomes, one for each color. based on the picture, which statements are true? the probability of each outcome is equal the probability of each outcome is different. the outcomes have a uniform probability distribution. the outcomes have a nonuniform distribution

Explanation:

Step1: Calculate probability of each outcome

Since it is a fair spinner with 4 possible outcomes, the probability of each outcome is \(P=\frac{1}{4}\) (using the formula \(P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\)).

Step2: Analyze uniform distribution

A uniform probability distribution means that each outcome has the same probability. Here, each color has a probability of \(\frac{1}{4}\).

Answer:

• The probability of each outcome is equal.
• The outcomes have a uniform probability distribution.