Probability
In a range of meaningful contexts, students will be engaged in thinking mathematically and statistically. They will solve problems and model situations that require them to:
SP3-3: Investigate simple situations that involve elements of chance by comparing experimental results with expectations from models of all outcomes, acknowledging that samples vary.
SP4-3: Investigate situations that involve elements of chance by comparing experimental distributions with expectations from models pf the possible outcomes, acknowledging variation and independence.
SP4-4: Use simple fractions and percentages to describe probabilities.
SP3-3: Investigate simple situations that involve elements of chance by comparing experimental results with expectations from models of all outcomes, acknowledging that samples vary.
SP4-3: Investigate situations that involve elements of chance by comparing experimental distributions with expectations from models pf the possible outcomes, acknowledging variation and independence.
SP4-4: Use simple fractions and percentages to describe probabilities.
In this unit you will Learn:
1. Equally likely outcomes.
2. Probability Trees.
3. Investigate simple situations that involve elements of chance.
4. Use simple fractions and percentages to decribe probabilities.
1. Equally likely outcomes.
2. Probability Trees.
3. Investigate simple situations that involve elements of chance.
4. Use simple fractions and percentages to decribe probabilities.
Probability
How likely something is to happen?
Many events can't be predicted with total certainty. The best we can say is how likely they are to happen, using the idea of probability.
Tossing a Coin When a coin is tossed, there are two possible outcomes:
And the probability of the coin landing T is ½.
Many events can't be predicted with total certainty. The best we can say is how likely they are to happen, using the idea of probability.
Tossing a Coin When a coin is tossed, there are two possible outcomes:
- heads (H) or
- tails (T)
And the probability of the coin landing T is ½.
Throwing Dice
When a single die is thrown, there are six possible outcomes: 1, 2, 3, 4, 5, 6.
The probability of any one of them is 1/6.
When a single die is thrown, there are six possible outcomes: 1, 2, 3, 4, 5, 6.
The probability of any one of them is 1/6.
Probability in general:
Probability of an event happening :Number of ways it can happenTotal number of outcomes
Example: the chances of rolling a "4" with a die
Number of ways it can happen: 1 (there is only 1 face with a "4" on it)
Total number of outcomes: 6 (there are 6 faces altogether)
So the probability = 1 out of 6
Probability of an event happening :Number of ways it can happenTotal number of outcomes
Example: the chances of rolling a "4" with a die
Number of ways it can happen: 1 (there is only 1 face with a "4" on it)
Total number of outcomes: 6 (there are 6 faces altogether)
So the probability = 1 out of 6
Games
Higher or Lower
The graphics on this game are quite basic, but this is a fantastic and fun activity to gauge your understanding of probability. |
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Higher or Lower
Use your knowledge of probability to bet on whether the next card is higher or lower than the last one. Click on the card image and it will take you to the game. Good luck! |
What is the probability things will happen?
Probability Trees
Tree diagrams are useful for listing outcomes of experiments that have two or more successive outcomes.
- The first event is at the end of the first branch, the second event is at the end of the second branch etc.
- The outcomes for the combined events are listed on the right-hand side.
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