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?

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camron0113 camron0113 · Answer 1 · 2019-04-17T17:00:23+02:00

Answer:

Wind has 1 section. Rain has 2 sections. Clouds has 3 sections. Sunshine has 4 sections. And sunshine is most likely.

Step-by-step explanation:

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MrRoyal MrRoyal · Answer 2 · 2021-09-11T14:17:06+02:00

A section spinner can be used to determine the probability of an event.

The forecast that is most likely is sunshine

Let:

[tex]w \to[/tex] wind with no rain or cloud

[tex]r \to[/tex] rain with no wind

[tex]c \to[/tex] cloud with no rain or wind

[tex]s \to[/tex] sunshine

So, we have:

[tex]w = 10\%[/tex]

[tex]r = 20\%[/tex]

[tex]c = 30\%[/tex]

[tex]s = 40\%[/tex]

Represent as a ratio

[tex]w : r : c : s = 10\% : 20\% : 30\% : 40\%[/tex]

Divide through by 10%

[tex]w : r : c : s = 1 : 2: 3 : 4[/tex]

Add the total ratio

[tex]Total = 1 + 2 + 3 + 4 = 10[/tex]

This means that, on a 10-section spinner (see attachment),

The most likely forecast, is the forecast with most section.

Hence, the most likely forecast is sunshine