MathIsimple

Possibility (Possible/Impossible/Likely)

Explore the exciting world of probability! Learn about possible and impossible events, and discover what makes something likely or unlikely to happen.

Learning Scenario

Meet the Probability Detectives! Emma and Jake are planning a picnic and need to decide what activities to bring. They're wondering: Is it possible it will rain? Is it likely the sun will shine? Is it impossible for it to snow in summer? Let's help them understand the language of probability and make smart decisions!

What is Probability?

Definition

Probability is the study of how likely something is to happen. It helps us understand and predict whether events will occur, from very likely to completely impossible.

Think of it like this: Probability is like a weather forecast for events - it tells us how "likely" or "unlikely" something is to happen.

Key Words We Use

Possible: Can happen
Impossible: Cannot happen
Likely: Probably will happen
Unlikely: Probably won't happen

Possible vs Impossible

✅ Possible Events

These are things that can happen, even if they're not very likely.

  • It will rain tomorrow
  • You'll get a perfect score on a test
  • A bird will land on your windowsill
  • You'll see a rainbow today

❌ Impossible Events

These are things that cannot happen, no matter what.

  • The sun will rise in the west
  • You'll turn into a cat
  • A square will have 5 sides
  • You'll be 100 years old tomorrow

Likely vs Unlikely

Understanding Likelihood

When something is possible, we can also describe how likely it is to happen. We use words like "likely" and "unlikely" to describe the chances.

🟢 Likely Events

  • • It will be sunny in summer
  • • You'll eat lunch today
  • • You'll go to school tomorrow
  • • A coin flip will land on heads or tails

🟡 Unlikely Events

  • • It will snow in July
  • • You'll win the lottery
  • • A meteor will hit your house
  • • You'll find a four-leaf clover

Probability Scale

ImpossibleUnlikelyEven ChanceLikelyCertain
0%25%50%75%100%

Example Problems

Example 1: Weather Predictions

Look at each weather event and decide if it's possible or impossible, and if possible, whether it's likely or unlikely.

It will rain tomorrow in Seattle

Possible or Impossible?
Likely or Unlikely?

The sun will rise in the west tomorrow

Possible or Impossible?

Example 2: School Events

Classify these school-related events as possible/impossible and likely/unlikely.

You'll have math class today

Possible & Likely

You'll get 100% on every test

Possible & Unlikely

You'll turn into a robot

Impossible

You'll eat lunch today

Possible & Likely

Interactive Activities

Activity 1: Probability Sort

Sort these events into the correct categories:

Events to sort:

• You'll see a shooting star tonight

• You'll breathe air today

• You'll grow wings and fly

• You'll get a new pet

Possible & Likely

Possible & Unlikely

Impossible

Possible & Likely

Activity 2: Create Your Own

Think of 4 events and classify them:

Event 1:
Event 2:
Event 3:
Event 4:

Common Mistakes to Avoid

❌ Confusing "unlikely" with "impossible"

Unlikely events can still happen! Impossible events cannot happen at all.

❌ Not considering context

Whether something is likely or unlikely depends on the situation. Snow in July is unlikely, but snow in January might be likely!

❌ Using personal opinion instead of facts

Base your decisions on what you know about the world, not just what you hope or fear.

Practice Problems

Problem 1

Classify each event as possible/impossible and likely/unlikely:

a) You'll see a rainbow today

b) You'll turn into a butterfly

Key Takeaways

What You Learned

  • Probability helps us understand how likely events are to happen
  • Possible events can happen; impossible events cannot
  • Likely events probably will happen; unlikely events probably won't

Next Steps

  • Practice with more complex probability problems
  • Learn about probability with numbers and fractions
  • Apply probability to real-world decision making