You spin a spinner numbered from 1 to 6 and spin another spinner with the colors violet and yellow. Both spinners are divided into sections with the same area. How many possible outcomes are in the sample space?The sample space has possible outcomes.
Question
You spin a spinner numbered from 1 to 6 and spin another spinner with the colors violet and yellow. Both spinners are divided into sections with the same area. How many possible outcomes are in the sample space?The sample space has possible outcomes.
Solution
The sample space of an experiment is the set of all possible outcomes. In this case, we have two spinners. The first spinner has 6 possible outcomes (1, 2, 3, 4, 5, 6) and the second spinner has 2 possible outcomes (violet, yellow).
To find the total number of possible outcomes, we multiply the number of outcomes for each spinner together. This is because each spin of the first spinner can be paired with each spin of the second spinner.
So, the total number of possible outcomes is 6 (from the first spinner) times 2 (from the second spinner), which equals 12. Therefore, the sample space has 12 possible outcomes.
Similar Questions
The set of all possible outcomes make up the sample space of an experiment.A. What are the possible outcomes of each spin of this spinner?B. Is each outcome equally likely? How do you know?
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