CH09-01 lesson

What Is Probability? Learning Activity

A focused Grade 7 learning session for What Is Probability? using visual models, worked examples, strategy guidance, and a short mastery check.

15
minutes
6
lesson parts
11
practice items
Learning goal

Students will build Grade 7 mastery of what is probability? using models, equations, and test-style reasoning.

Student goal: I can solve problems involving what is probability?.

concept

Learn the Idea

What Is Probability? is part of Grade 7 Probability. This activity focuses on the central idea students need before they move into independent practice.

Students will build Grade 7 mastery of what is probability? using models, equations, and test-style reasoning.

visual model

See the Math

What to noticeHow to use it
Numbers, units, labels, diagrams, or graphsIdentify what each part represents before calculating.
The relationship in the problemConnect the model to an equation, comparison, or explanation.

Use the figures and worked questions in the practice set below as the visual model for this skill.

worked example

Follow a Worked Example

Read the first practice question slowly. Decide what the question is asking, choose a strategy, solve, and then compare your reasoning with the answer explanation.

For What Is Probability?, a strong worked example should show the setup, the calculation or model, and a final answer that matches the context.

real world

Connect It to a Real Situation

Many Grade 7 test questions use real situations. Look for quantities, units, rates, measures, expressions, or data values that connect the math to the story.

After solving, explain what the answer means in the situation, not just the number you calculated.

strategy

Avoid Mistakes and Choose a Strategy

  • Underline the exact question before solving.
  • Label units, variables, or graph axes when they appear.
  • Estimate first so unreasonable answers are easier to catch.
  • Review missed questions and write the reason for each mistake.
summary

Remember the Key Idea

I can solve problems involving what is probability?.

Use the warmup, guided question, practice set, and exit questions below to check whether this skill is ready or needs more practice.

Guided to independent practice

Solve before opening the answer

Use scratch paper. The explanation matters more than simply seeing whether the choice is correct.

warmup

2 questions
G7-C09-T01-Q001 About 1 min

Which value could represent the probability of an event?

  1. A \(-0.2\)
  2. B \(0.35\)
  3. C \(1.5\)
  4. D \(200\%\)
Check answer and explanation

Answer B: \(0.35\)

Probability is always between \(0\) and \(1\) (inclusive). Only \(0.35\) fits.

G7-C09-T01-Q002 About 1 min

A probability number line is shown below. Which probability is marked on the number line?

What Is Probability? visual for G7-C09-T01-Q002
  1. A \(0.1\)
  2. B \(0.2\)
  3. C \(0.3\)
  4. D \(0.4\)
Check answer and explanation

Answer C: \(0.3\)

The point is at the third tick mark from \(0\) to \(1\), which represents \(0.3\).

guided

1 question
G7-C09-T01-Q003 About 1 min

Which fraction is equivalent to a probability of \(0.75\)?

  1. A \(\frac{1}{4}\)
  2. B \(\frac{3}{4}\)
  3. C \(\frac{1}{2}\)
  4. D \(\frac{4}{5}\)
Check answer and explanation

Answer B: \(\frac{3}{4}\)

\(\frac{3}{4} = 0.75\). Dividing \(3 \div 4 = 0.75\).

practice

5 questions
G7-C09-T01-Q004 About 1 min

Which event has a probability of \(1\) (certain)?

  1. A Rolling an even number on a standard die
  2. B Flipping a coin and getting heads
  3. C Picking a red card from a standard deck
  4. D The sun rising tomorrow
Check answer and explanation

Answer D: The sun rising tomorrow

The sun rising tomorrow is certain (probability = 1). The other events are uncertain.

G7-C09-T01-Q005 About 1 min

Which event has a probability of \(0\) (impossible)?

  1. A Rolling a 7 on a standard six-sided die
  2. B Flipping a coin and getting tails
  3. C Drawing a number from 1 to 10
  4. D Picking a blue marble from a bag of blue marbles
Check answer and explanation

Answer A: Rolling a 7 on a standard six-sided die

A standard die only has faces 1--6, so rolling a 7 is impossible (probability = 0).

G7-C09-T01-Q006 About 1 min

A weather forecast says there is a \(60\%\) chance of rain tomorrow. What is this probability as a decimal?

  1. A \(0.06\)
  2. B \(0.6\)
  3. C \(6.0\)
  4. D \(60\)
Check answer and explanation

Answer B: \(0.6\)

\(60\% = \frac{60}{100} = 0.6\).

G7-C09-T01-Q007 About 1 min

A bag contains 8 red marbles and 12 blue marbles. If you pick one marble without looking, what is the probability of picking a red marble?

  1. A \(\frac{8}{20}\)
  2. B \(\frac{12}{20}\)
  3. C \(\frac{8}{12}\)
  4. D \(\frac{20}{8}\)
Check answer and explanation

Answer A: \(\frac{8}{20}\)

Total marbles = \(8 + 12 = 20\). Probability = \(\frac{\text{red}}{\text{total}} = \frac{8}{20}\).

G7-C09-T01-Q008 About 1 min

Which likelihood term describes a probability of \(0.1\)?

  1. A Certain
  2. B Likely
  3. C Unlikely
  4. D Even chance
Check answer and explanation

Answer C: Unlikely

A probability of \(0.1\) is very low, so the event is unlikely to occur.

exit

3 questions
G7-C09-T01-Q009 About 1 min

Which probability best matches the phrase "even chance"?

  1. A \(0.2\)
  2. B \(0.5\)
  3. C \(0.8\)
  4. D \(0.9\)
Check answer and explanation

Answer B: \(0.5\)

An even chance means equally likely to happen or not, which is \(P = 0.5 = 50\%\).

G7-C09-T01-Q010 About 1 min

A student rolled a die 60 times and got the following results: 1 appeared 10 times. Based on this data, what is the experimental probability of rolling a 1?

  1. A \(\frac{1}{5}\)
  2. B \(\frac{10}{60}\)
  3. C \(\frac{1}{60}\)
  4. D \(\frac{50}{60}\)
Check answer and explanation

Answer B: \(\frac{10}{60}\)

Experimental probability = \(\frac{\text{times event occurred}}{\text{total trials}} = \frac{10}{60}\).

G7-C09-T01-Q011 About 1 min

Which list orders the probabilities from least likely to most likely?

  1. A \(0.2, 0.5, 0.9, 1\)
  2. B \(1, 0.9, 0.5, 0.2\)
  3. C \(0.5, 0.2, 1, 0.9\)
  4. D \(0.9, 1, 0.2, 0.5\)
Check answer and explanation

Answer A: \(0.2, 0.5, 0.9, 1\)

Lower probabilities represent less likely events. Ordering: \(0.2 < 0.5 < 0.9 < 1\).

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