Question

a spinner is divided into equal sections of three possible colors. there are 2 yellow sections, 2 blue sections, and 4 red sections. use the drop - down menus to complete the statements about the likelihood of the given events related to the spinner. click the arrows to choose an answer from each menu. spinning a blue is choose... spinning a yellow or red is choose... spinning a choose... is impossible. spinning a choose... is neither likely nor unlikely.

Explanation:

Step1: Calculate total sections

Total sections = $2 + 2 + 4 = 8$

Step2: Probability of blue

$P(\text{blue}) = \frac{2}{8} = \frac{1}{4}$

Step3: Probability of yellow or red

$P(\text{yellow or red}) = \frac{2+4}{8} = \frac{6}{8} = \frac{3}{4}$

Step4: Identify impossible event

Only yellow, blue, red exist; any other color is impossible.

Step5: Identify neutral likelihood event

An event with probability $\frac{1}{2}$ is neither likely nor unlikely. No single color has this, but if considering a split, or re-evaluating: Wait, total sections 8. A probability of $\frac{4}{8}=\frac{1}{2}$ would be 4 sections, which is red? No, red is $\frac{4}{8}$, but that is equally likely? Wait no, "neither likely nor unlikely" means 50% chance. Wait, alternatively, if we consider that the only way is if an event has 4 sections. Wait, no: the options for the last one: the color would be... Wait, no, let's recheck:
Wait, "neither likely nor unlikely" means probability = 0.5. The only color with 4 sections is red? No, red is 4, so $P(\text{red})=\frac{4}{8}=0.5$. Wait no, earlier: blue is 0.25 (unlikely), yellow or red is 0.75 (likely). Impossible is any color not yellow/blue/red, e.g., green.

Wait, correcting Step5:

Step5: Identify neutral likelihood

$P(\text{red}) = \frac{4}{8} = 0.5$, so red is neither likely nor unlikely.

Answer:

1. Spinning a blue is unlikely
2. Spinning a yellow or red is likely
3. Spinning a green (or any non-yellow/blue/red color) is impossible.
4. Spinning a red is neither likely nor unlikely.