Recognise that probabilities range from 0 to 1 (ACMSP117)
List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions (ACMSP116)
LO: To describe probabilities using fractions, decimals and percentages
Know:
- The probability is the chance of an event occurring.
- How to answer questions to collect data
- The difference between categorical and numerical data
Understand:
- That probability ranges from 0 to 1
Do:
- I can describe probabilities between 0 and 1.
Describing Probabilities
Probabilities of events can be described in a range of 0 to 1.
The probability of an event occurring can never be less than 0.
A probability of 0 means that the event is impossible to occur.
The probability of an event occurring can never be more than 1.
A probability of 1 means that the event is certain to occur.
Probabilities can also be described with fractions.
A probability of 1/2 has an even chance of occurring.
A probability of less than < 1/2 would be unlikely of occuring.
A probability of more than > 1/2 would be likely to occur.
Equally-likely Outcomes
Equally-likely outcomes means that there is an equal chance for all events to occur.
For example, the chance of landing a heads or tails is equal when flipping a coin, so that is an equally-likely event.
The chance of picking an even number is the same as the chance of picking an odd number, so those events are also equally-likely.
This is an equally-likely event because the spinner has an equal chance of landing in the red, green, orange and blue sections.
This is not an equally-likely event because the spinner has an unequal chance of landing in the blue, red, green and pink sections because the pink and blue sections are unequal.
Teaching Ideas
