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Weather Station: Simulate Warm, Dry Days

Design and run random-digit weather simulations to estimate compound-event probabilities for single days and two-day periods.

Grade 7MathInteractive · Printable

Aligned to7.SP.C.8.c

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
13 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 7
Subject: Math
Question types: Fill in the blank, Multiple choice, Circle the answer, Short answer

About this worksheet

What students practice

Students design random-digit simulations that model temperature and rainfall together.
Students run simulations and use relative frequencies to estimate compound-event probabilities.
Students identify assumptions that limit a weather simulation.

How to use

Have students mark qualifying trials before calculating estimates. Discuss how rainfall rules depend on temperature and how a two-day simulation uses four digits.

Curriculum

Common Core standard covered

7.SP.C.8.c

Design and run a simulation to estimate the probability of a compound event.

Preview

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Name Date

Weather Station: Simulate Warm, Dry Days

Use random digits to model temperature and rainfall together.

Build the Weather Model

Use the station's simplified model below. Each random digit from 0 through 9 is equally likely. Generate each digit independently.

The weather station classifies each day by its high temperature and total rainfall. Cool means below 20°C; warm means 20°C or above. Rainy means at least 1 mm of rain; dry means less than 1 mm.

Simplified Daily Weather Model
Weather feature	Model probability
Cool day	40%
Warm day	60%
Rainy on a cool day	50%
Rainy on a warm day	20%

One simulated day uses two digits in order. The first digit determines temperature: 0–3 means cool, and 4–9 means warm. The second digit determines rainfall using the temperature result.

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