Question

the weather forecast for next season calls for a 10% chance of wind with no rain or clouds, a 20% chance of rain with no wind, a 30% chance of clouds with no wind or rain, and a 40% chance of only sunshine. describe a 10 - section spinner that could be used to model this situation. which forecast is most likely?

Explanation:

Step1: Calculate sections per event

Multiply each probability (as a decimal or percentage) by 10 (total sections) to find how many sections each weather event occupies. For example, for 10% chance: $0.1\times10 = 1$.

Step2: Assign sections to events

Label the spinner's sections according to the calculated number for each weather condition (wind - no rain/clouds: 1, rain - no wind: 2, clouds - no wind/rain: 3, sunshine: 4). Spinning the spinner will simulate the weather probabilities.

Answer:

To model the weather forecast with a 10 - section spinner:

1. First, convert the percentages to the number of sections:

• For wind with no rain or clouds (10% chance): $10\%\times10 = 1$ section.
• For rain with no wind (20% chance): $20\%\times10 = 2$ sections.
• For clouds with no wind or rain (30% chance): $30\%\times10 = 3$ sections.
• For only sunshine (40% chance): $40\%\times10 = 4$ sections.

1. Then, label the spinner:

• Color or mark 1 section for "wind with no rain or clouds".
• Color or mark 2 sections for "rain with no wind".
• Color or mark 3 sections for "clouds with no wind or rain".
• Color or mark 4 sections for "only sunshine".