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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)
[/title][fusion_text]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.
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Describing Probabilities
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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.
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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.
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Equally-likely Outcomes
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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.
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This is an equally-likely event because the spinner has an equal chance of landing in the red, green, orange and blue sections.
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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.
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Teaching Ideas
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Equally-likely Outcomes Videos
[/title][one_half last=”no” spacing=”yes” center_content=”no” hide_on_mobile=”no” background_color=”” background_image=”” background_repeat=”no-repeat” background_position=”left top” border_position=”all” border_size=”0px” border_color=”” border_style=”” padding=”” margin_top=”” margin_bottom=”” animation_type=”” animation_direction=”” animation_speed=”0.1″ class=”” id=””][youtube id=”3X8fulj9qLw” width=”600″ height=”350″ autoplay=”no” api_params=”” class=””][/youtube][/one_half][one_half last=”yes” spacing=”yes” center_content=”no” hide_on_mobile=”no” background_color=”” background_image=”” background_repeat=”no-repeat” background_position=”left top” border_position=”all” border_size=”0px” border_color=”” border_style=”” padding=”” margin_top=”” margin_bottom=”” animation_type=”” animation_direction=”” animation_speed=”0.1″ class=”” id=””][youtube id=”4e5SZQ-jNZ0″ width=”600″ height=”350″ autoplay=”no” api_params=”” class=””][/youtube][/one_half][/fullwidth]