To analyze the likelihood of events related to the spinner, we first determine the total number of sections and the probability of spinning each color.
The spinner has:
- 2 yellow sections
- 2 blue sections
- 4 red sections
Total sections = 2 yellow + 2 blue + 4 red = 8 sections.
Now let's evaluate the statements:
-
Spinning a blue:
- Probability of spinning blue = Number of blue sections / Total sections = 2/8 = 1/4.
- This probability is not high, so we can say spinning a blue is unlikely.
-
Spinning a yellow or red:
- Probability of spinning yellow = 2/8 = 1/4.
- Probability of spinning red = 4/8 = 1/2.
- Probability of spinning yellow or red = Probability of yellow + Probability of red = 1/4 + 1/2 = 1/4 + 2/4 = 3/4.
- This probability is higher than spinning blue, so we say that spinning a yellow or red is likely.
-
Spinning a red:
- Probability of spinning red = 4/8 = 1/2.
- This probability is comparatively high, so we say spinning a red is likely.
-
Spinning a section that is blue:
- Probability is again 2/8 = 1/4.
- Since we already established spinning blue is unlikely, we choose unlikely.
Now compiling everything, the final statements would be:
- Spinning a blue is unlikely.
- Spinning a yellow or red is likely.
- Spinning a red is likely.
- Spinning a blue is unlikely.
Please select the appropriate options from the drop-down menus based on the above evaluation.