Question

Which table shows the sample space for spinning the spinner twice?

spinner with 3 equal sections colored yellow, blue, and red


Blue Yellow Red
Blue Blue Blue Blue
Yellow Yellow Yellow Yellow
Red Red Red Red

Blue Yellow Red
Blue Blue, Blue Blue, Yellow Blue, Red
Blue Blue, Blue Blue, Yellow Blue, Red

Blue Yellow Red
Blue Blue, Blue Blue, Yellow Blue, Red
Red Red, Blue Red, Yellow Red, Red
Yellow Yellow, Blue Yellow, Yellow Yellow, Red

Blue Yellow Red
Blue Blue, Blue Blue, Red Blue, Red
Red Red, Blue Red, Yellow Red, Red
Yellow Yellow, Blue Yellow, Red Yellow, Blue

Answers

GPT-4o mini
To find the sample space for spinning a spinner with three equal sections (colored yellow, blue, and red) twice, we need to list all possible outcomes of the two spins.

The outcomes will be represented as ordered pairs (first spin, second spin). The possible outcomes for each spin are:

1. Blue
2. Yellow
3. Red

When spinning the spinner twice, the sample space will consist of all combinations of the colors for the first and second spins:

- (Blue, Blue)
- (Blue, Yellow)
- (Blue, Red)
- (Yellow, Blue)
- (Yellow, Yellow)
- (Yellow, Red)
- (Red, Blue)
- (Red, Yellow)
- (Red, Red)

Thus, the sample space contains 9 different outcomes.

Now, let's review the options you provided to find the correct table:

The only correct representation of the outcomes from spinning the spinner twice is:
- Blue, Blue
- Blue, Yellow
- Blue, Red
- Yellow, Blue
- Yellow, Yellow
- Yellow, Red
- Red, Blue
- Red, Yellow
- Red, Red

Finding a table that represents this properly would mean searching for the combination of results like this:

Blue Yellow Red
Blue Blue, Blue Blue, Yellow Blue, Red
Yellow Yellow, Blue Yellow, Yellow Yellow, Red
Red Red, Blue Red, Yellow Red, Red

Choose the one that includes all these outcomes. If one of the tables contains them clearly listed in an organized manner, it will represent the correct sample space.

Upon reviewing the tables, it appears that none of the provided tables are correct because they do not accurately represent the combinations clearly. You might need to re-check each of the tables or a supplied set to find an accurately organized sample space.

If there is a specific format or table structure you remember, please clarify, and I'd gladly assist further.

Related Questions