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:

First, we calculate the total number of sections. There are 2 yellow, 2 blue, and 4 red sections. So total sections = 2 + 2 + 4 = 8.

Step 1: Analyze the probability of spinning blue

The number of blue sections is 2. The probability of spinning blue is $\frac{2}{8} = \frac{1}{4}$. Since this probability is less than 0.5, spinning blue is unlikely.

Step 2: Analyze the probability of spinning yellow or red

The number of yellow sections is 2 and red is 4, so total for yellow or red is 2 + 4 = 6. The probability is $\frac{6}{8} = \frac{3}{4}$. Since this probability is greater than 0.5, spinning yellow or red is likely.

Step 3: Determine the impossible event

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

Step 4: Determine the event that is neither likely nor unlikely

An event that is neither likely nor unlikely has a probability of around 0.5. The number of yellow sections is 2 and blue is 2, but wait, the total is 8. Wait, the probability of spinning yellow is $\frac{2}{8} = \frac{1}{4}$, blue is $\frac{2}{8} = \frac{1}{4}$, red is $\frac{4}{8} = \frac{1}{2}$. Oh, spinning red has a probability of 0.5, so spinning red is neither likely nor unlikely (since 0.5 is the midpoint, neither more likely than not or less likely than not). Wait, let's re - check:

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

• Probability of blue: $P(blue)=\frac{2}{8}=\frac{1}{4}$ (unlikely)
• Probability of yellow or red: $P(yellow\ or\ red)=\frac{2 + 4}{8}=\frac{6}{8}=\frac{3}{4}$ (likely)
• Impossible event: Any color not yellow, blue, or red (e.g., green)
• Neither likely nor unlikely: The event with probability 0.5. Since $P(red)=\frac{4}{8} = 0.5$, spinning red is neither likely nor unlikely. Also, the number of yellow and blue sections are equal (2 each), but their individual probabilities are 0.25. The red has probability 0.5. So:

Answer:

s for each part:

1. Spinning a blue is unlikely (because the probability $\frac{2}{8}=\frac{1}{4}<0.5$)
2. Spinning a yellow or red is likely (because the probability $\frac{6}{8}=\frac{3}{4}>0.5$)
3. Spinning a green (or any color other than yellow, blue, red) is impossible (since the spinner only has yellow, blue, red sections)
4. Spinning a red is neither likely nor unlikely (because the probability of spinning red is $\frac{4}{8} = 0.5$, which is the mid - point between likely and unlikely)