Question

In a game of chance, players spin the pointer of a spinner with six equal-sized sections What are the probabilities of each outcome in the sample space? Select all that apply.

Answer 1

In a spinner game with six equal-sized sections, each outcome has an equal probability of 1/6 or approximately 16.67%, since all outcomes in the sample space are equally likely.

Step-by-step explanation:

In a game of chance involving a spinner with six equal-sized sections, the sample space contains six possible outcomes, with each outcome corresponding to where the spinner might land, labeled from 1 to 6. Since the spinner is divided equally, each outcome has an equal chance of occurring. To calculate the probability of any specific outcome, we use the formula for theoretical probability, which is to count the number of favorable outcomes and divide it by the total number of outcomes in the sample space.

Thus, for each of the six sections, there is one favorable outcome (the spinner landing on that section), and there are six possible outcomes in total (since there are six sections). Therefore, the probability for each section is 1/6 or approximately 0.1667. This means that each outcome has a probability of about 16.67%.