The Ins Outs of Probability And how to

The In’s & Outs of Probability And how to make it fun

What’s on the menu today? • Simple Experiments • Relative Frequency vs Theoretical Frequency • Introduction to Tree Diagrams

But first, let’s warm up !! N O I e • Press T I m T o c E • P o Math Q 2/25 Drill t M t – • √ 12+ 5=17 CO forge tand ◄a+Question? 25 x‒ x ÷ 1 x 8=9 + ‒ x ÷ t s ’ s r n n SELECT ►! &1 x [ENTER] 8=_ i u o • o w ! D t e e s v pa st tim rowa • e c i t s m • Answer the questionsfa and press P R A • If you accidently type in H S something wrong press • Drill Mode ►

Class marks • Press • Type in what you are converting to, e. g. 100 • Press • Type in what you are converting from, e. g. 80 • Press • Type in first student’s mark • Press • Then simply type in the next student’s mark and again

PRIME FACTORIZATION!!!!!! • Press • Type in the number you want to prime factorize. • Press • • • Tada!! 96 = 25 x 3

Simple Experiments • Lets start with flipping a coin. • Press • • • Choose for Coin. • To flip the coin press <RANDOM> 0: RAND 1: R-DICE 2: R-COIN 3: R-INT

Probability Exercise • With the coin • And now with the dice. • To get there press: • • R. DICE= 2.

This is a great introduction to Relative Frequency and Theoretical Probability • We expect every one out of six (for the dice) or one out of two (for the coin) • This is obviously not the case. • Relative frequency is what actually happens in real life. • Theoretical probability is the expected probability according to a theory.

Let’s play a game or two Yes, in maths! Oh my goodness

This is a great introduction to Tree Diagrams • Why does it take so much longer to win at the coin version of the game than it does to win at the dice game? • Which probability is bigger? • What is the chance of getting 2 in a row right with • The dice? • The coin?

And what about the lotto? Pick any six numbers between 1 and 49

What are the odds of actually winning the lotto? •

So what do you think the odds of winning the lotto are? Take a wild guess before pressing the button.

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