Mathematics
Advanced
50 mins
Teacher/Student led
+65 XP
What you need:
IWB/Projector/Large Screen

Probability Scale and the Language of Chance

Learn to place everyday events on a probability scale from 0 (impossible) to 1 (certain), and use the language of chance to describe how likely things are to happen.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedHere are three things that might happen today or tomorrow:

    • The sun will rise tomorrow morning.
    • You will roll a 7 on an ordinary six-sided die.
    • It will rain somewhere in Ireland this week.

    Which one is sure to happen? Which one can never happen? And which one sits somewhere in between?

    2 - Watch and Notice ~9 mins

    Every chance in the world sits on one line, from 0 at the left (it can never happen) to 1 at the right (it must always happen). The middle, 0.5, is an even chance, just as likely to happen as not.

    Here is how to place an event on the scale and match its chance word. Follow this worked example: you roll an even number on an ordinary six-sided die.

    • Name the outcomes: the faces are 1, 2, 3, 4, 5 and 6.
    • Count how many are even: 2, 4 and 6, so three out of six.
    • Three out of six is half of the faces, so the event sits at 0.5 on the scale.
    • The chance word that fits 0.5 is even chance.

    A coin landing heads sits on the same spot as the even-number roll. Why do you think both events land at 0.5?

    3 - Try It Together ~10 mins

    Key point

    Today we place these events on the chance scale together. For each one, say where you think it belongs and give a reason before the marker moves:

    • A Monday follows a Sunday.
    • The next car past the school is red.
    • The next baby born in Ireland is a girl.
    • You will grow taller this year.

    Place the events on the scale

    4 - Sketch the Scale in Your Copy ~3 mins

    COPYBOOK MOMENT

    Illustration for Sketch the Scale in Your CopyIn your maths copy, sketch a chance scale — a line marked 0 at the left, 0.5 in the middle and 1 at the right. Then place each of these events on it and label each one with a chance word (impossible, unlikely, even chance, likely, certain):

    • You will roll a number less than 7 on a die
    • It will snow in Ireland in July
    • A flipped coin lands tails
    • The next person to speak in class is your teacher
    • You will meet someone born on the same day as you

    5 - Class Challenge ~8 mins

    Today we place four trickier events on the scale, and each one is harder to judge than the last. Say where each belongs and why:

    • The next card drawn is a heart.
    • A three-colour spinner lands on your colour.
    • A tossed drawing pin lands point-up.
    • Your stretch: choose an event whose chance sits between 0.5 and 0.7, and defend where you put it.

    Where does the chance belong?

    Pupil practice
    Module 9 · Data and Chance Mixed
    Lesson 101 · Probability Scale and the Language of Chance
    Download Activity Book page (PDF)
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