Question

question 6 (multiple choice worth 2 points) (theoretical probability lc) spin a spinner with three equal sections colored red, white, and blue. what is p(orange)? 0% 33% 66% 100% (theoretical probability lc) when rolling a fair, eight - sided number die, determine p(number greater than 4). 0.25 0.50 0.66 0.75

Explanation:

Step1: Calculate probability for spinner

The spinner has 3 equal - sections and no orange section. Probability of an event $P(E)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, number of favorable outcomes for orange is 0 and total number of outcomes is 3. So $P(\text{orange})=\frac{0}{3}=0 = 0\%$.

Step2: Calculate probability for die

A fair eight - sided die has 8 possible outcomes. The numbers greater than 4 on an eight - sided die are 5, 6, 7, 8. So there are 4 favorable outcomes. Then $P(\text{number greater than }4)=\frac{4}{8}=0.5$.

Answer:

For the spinner: 0%, For the die: 0.50