Question

modeling a weather forecast
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 number of sections for each forecast

For wind with no rain or clouds: $10\%\text{ of }10 = 0.1\times10 = 1$ section.
For rain with no wind: $20\%\text{ of }10=0.2\times 10 = 2$ sections.
For clouds with no wind or rain: $30\%\text{ of }10 = 0.3\times10=3$ sections.
For only sunshine: $40\%\text{ of }10=0.4\times10 = 4$ sections.

Step2: Determine the most - likely forecast

The forecast with the most sections on the spinner is the most likely. Since only sunshine has 4 sections (the most among all), it is the most likely forecast.

Answer:

The 10 - section spinner should have 1 section for wind with no rain or clouds, 2 sections for rain with no wind, 3 sections for clouds with no wind or rain, and 4 sections for only sunshine. The most likely forecast is only sunshine.