Question

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

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

Answer 1

To find the sample space for spinning a spinner with three equal sections (yellow, blue, and red) twice, we need to consider all possible combinations of outcomes from the two spins.

Each spin can result in one of three outcomes: Yellow (Y), Blue (B), or Red (R). When spinning the spinner twice, each outcome of the first spin can be paired with each outcome of the second spin.

Here's how the combinations will look:

1. First Spin (Y) outcomes:
- Y, Y
- Y, B
- Y, R

2. First Spin (B) outcomes:
- B, Y
- B, B
- B, R

3. First Spin (R) outcomes:
- R, Y
- R, B
- R, R

Combining all of these, the complete sample space for spinning the spinner twice is:

- (Y, Y)
- (Y, B)
- (Y, R)
- (B, Y)
- (B, B)
- (B, R)
- (R, Y)
- (R, B)
- (R, R)

So, the sample space consists of 9 possible outcomes as listed above.