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 (yellow) + 2 (blue) + 4 (red) = 8.

Step2: Analyze "Spinning a blue"

Probability of blue = $\frac{2}{8} = \frac{1}{4}$. Since $\frac{1}{4}$ is less than $\frac{1}{2}$, it's unlikely.

Step3: Analyze "Spinning a yellow or red"

Yellow or red sections = 2 + 4 = 6. Probability = $\frac{6}{8} = \frac{3}{4}$. Since $\frac{3}{4}$ is more than $\frac{1}{2}$, it's likely.

Step4: Analyze "Impossible event"

The spinner has only yellow, blue, red. So spinning a color not in these (e.g., green) is impossible.

Step5: Analyze "Neither likely nor unlikely"

Neither likely nor unlikely means probability around $\frac{1}{2}$. Yellow: $\frac{2}{8}=\frac{1}{4}$, Blue: $\frac{2}{8}=\frac{1}{4}$, Red: $\frac{4}{8}=\frac{1}{2}$? Wait, red is $\frac{4}{8}=\frac{1}{2}$? Wait, no: total is 8. Red is 4, so $\frac{4}{8}=\frac{1}{2}$. Wait, yellow: 2/8=1/4, blue: 2/8=1/4, red: 4/8=1/2. Wait, but "neither likely nor unlikely" is when probability is about 1/2. But yellow and blue have 1/4, red has 1/2? Wait, maybe the options for the last one: let's re - check. Wait, the first two: spinning blue: unlikely (2/8), spinning yellow or red: likely (6/8). Impossible: a color not present (like green). Neither likely nor unlikely: maybe yellow or blue? Wait, no, yellow and blue have probability 1/4 (unlikely), red has 1/2 (which is neither likely nor unlikely? Wait, 1/2 is the midpoint. So spinning red: probability 1/2, so neither likely nor unlikely. Wait, but let's confirm:

• Spinning blue: number of blue sections = 2, total = 8. Probability = 2/8 = 1/4 < 1/2, so "unlikely".
• Spinning yellow or red: yellow (2) + red (4) = 6. Probability = 6/8 = 3/4 > 1/2, so "likely".
• Impossible: a color not on the spinner (e.g., green, purple, etc.).
• Neither likely nor unlikely: a color with probability 1/2. Red has 4 sections, 4/8 = 1/2. So spinning red is neither likely nor unlikely? Wait, but yellow and blue have 1/4, which is unlikely. Red has 1/2, so that's the one.

Answer:

• Spinning a blue is \boxed{unlikely}
• Spinning a yellow or red is \boxed{likely}
• Spinning a \boxed{green} (or any color not yellow, blue, red) is impossible.
• Spinning a \boxed{red} is neither likely nor unlikely.