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  Q 2/25 √ 12+ 5=17 x 1x 8=9 ► 1x 8=_ Math Drill Question?25 ◄ + ‒ x ÷ + ‒ x ÷ ► SELECT & [ENTER] COMPETITION!! Don’t forget to come past our stand – fastest time wins a SHARP microwave!! Drill Mode Press Answer the questions and press If you accidently type in something wrong press

Class marks Press Type in what you are converting to, e.g. 100 100 80 ×55= 68 3 4 Press Type in what you are converting to, e.g. 100 Type in what you are converting from, e.g. 80 Type in first student’s mark Then simply type in the next student’s mark and again

PRIME FACTORIZATION!!!!!! Press 96 = 25x3 Press Type in the number you want to prime factorize. Tada!! 

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

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

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? 1 49 × 1 48 _ The chance of getting the first number right is: 1 49 Press The chance of getting the next number right is now 1 48 So type in

The chance of getting the third number right is: 1 47 Press 1 49 × 1 48 × 1 47 × 1 46 _ The chance of getting the third number right is: 1 47 Press The chance of getting the next number right is now 1 46 So type in

The chance of getting the fifth number right is: 1 45 Press < 1 47 × 1 46 × 1 45 × 1 44 _ The chance of getting the fifth number right is: 1 45 Press The chance of getting the next number right is now 1 44 So type in

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

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