a spinner is divided into equal sections of three possible colors. there are 2 yellow sections, 2 blue…
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.
Answer
Explanation:
Step1: Calculate total sections
Total sections = 2 (yellow) + 2 (blue)+ 4 (red)=8.
Step2: Calculate probability of spinning blue
Probability of spinning blue = $\frac{\text{Number of blue sections}}{\text{Total sections}}=\frac{2}{8}=\frac{1}{4}$, so it is unlikely.
Step3: Calculate probability of spinning yellow or red
Number of yellow or red sections = 2 (yellow)+4 (red) = 6. Probability = $\frac{6}{8}=\frac{3}{4}$, so it is likely.
Step4: Identify impossible event
Since there are only yellow, blue and red sections, spinning a color other than yellow, blue or red (e.g., green) is impossible.
Step5: Identify event that is neither likely nor unlikely
Probability of an event that is neither likely nor unlikely is $\frac{1}{2}$. Number of sections for such an event would be 4. Since there are 4 red sections, spinning a red is neither likely nor unlikely.
Answer:
Spinning a blue is unlikely. Spinning a yellow or red is likely. Spinning a color other than yellow, blue or red is impossible. Spinning a red is neither likely nor unlikely.