# What are the chances

by
**MsHLee**

Last updated 4 years ago

** Discipline: **

Math ** Subject: **

Prob/Stat
** Grade:**

9,10,11,12

Chance and Probability

Theoretical Probability: the expected frequency of an outcome in a chance experiment. Experimental Probability: the actual frequency of an outcome in a chance experiment

Language of ChanceYou may already know from previous years that: Chance: The likelihood of a particular outcome occurring Commonly used chance words are impossible, certain, equally likely, unlikely and likely. Probability: is a measure of the chance of a particular outcome occurringProbabilities range from 0-1. Probabilities can be described using fractions and decimals. Activity 1. In your workbooks draw a number line from 0-1 and order and label the probability of chance events occuring using common chance words, fractions and decimals. Probabilities can also be described using percentages. Using your knowledge of the relationship between decimals, equivalent fractions and percentages label the following percentages on your number line: 100%, 25%, 50%, 0%, 75%

Skunk Class Game After playing the game Skunk as a class answer the following questions in your work book. 1. What is the probability of rolling a single one?2. What is the probability of rolling a pair of ones? HINT: Using images or tree diagrams to show the possible outcomes of rolling 2 dice can help you to calculate theoretical probabilities3. With 2 dice perform an experiment to compare the experimental probability with the theoretical probability. CHALLENGE ACTIVITY: If you used 3 dice in the game of 'Skunk' would this change the probability of rolling a single one or a pair of ones? Explain.

Spinner Chance Experiment1.Build four different spinners. 2. For each spinner predict what the expected outcome would be for each.3. Conduct experiments with 10, 100 and 1000 spinsAnswer the workbook questions in your Maths workbook. Click here to play a game with a spinner. If you want more of a challenge click here

Theoretical Probability = Number of outcomes in the event Number of possible outcomesExperimental Probability = Number of observed occurrences of the event Total Trials

Workbook Questions1. How can you increase the chances of the spinner landing on a certain colour? 2. Why do you think there were differences between your predictions and your results?3. Does the number of spins in the experiment change your results? 4. Is there a way you can write down the possible outcomes of the experiment?

Click here to Play a game practising the skills that you have learnt over the last two lessons. Want a challenge? click here to play an advanced level of the game

Fast FinisherConstruct a game involving the concept of chance and probabilities. Play with a partner

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