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

First, find the total number of sections. Yellow: 2, Blue: 2, Red: 4. Total = \(2 + 2 + 4 = 8\) sections.

Step2: Analyze "Spinning a blue"

Number of blue sections: 2. Probability = \(\frac{2}{8} = \frac{1}{4}\). So it's unlikely (since probability is low, less than 0.5).

Step3: Analyze "Spinning yellow or red"

Yellow: 2, Red: 4. Total for yellow or red: \(2 + 4 = 6\). Probability = \(\frac{6}{8} = \frac{3}{4}\). So it's likely (probability high, more than 0.5).

Step4: Analyze "Impossible"

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

Step5: Analyze "Neither likely nor unlikely"

Probability around 0.5. Blue: 2, Yellow: 2. Wait, total sections 8. Wait, blue: 2, yellow: 2, red: 4. Wait, spinning a blue or yellow? Wait, no. Wait, "neither likely nor unlikely" means probability ~0.5. Wait, blue: 2, yellow: 2. Wait, no, total sections 8. Wait, spinning a blue: 2/8=0.25 (unlikely), yellow: 2/8=0.25 (unlikely), red: 4/8=0.5. Oh! Red has 4 sections, total 8. So probability of red is \(\frac{4}{8} = 0.5\). So spinning a red is neither likely nor unlikely (since probability is 0.5).

Answer:

• Spinning a blue is: Unlikely
• Spinning a yellow or red is: Likely
• Spinning a (e.g., Green) is Impossible.
• Spinning a Red is neither likely nor unlikely.

(Note: For the "Impossible" one, any color not yellow/blue/red works. For "Neither likely nor unlikely", red has probability 0.5, so spinning red fits.)