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no edit summary
The
The
words '''‘probably’,
words '''‘probably’,'''
‘doubt’, ‘most probably’, ‘chances’''',
‘doubt’, ‘most probably’, ‘chances’''','''
etc., used in the statements above involve an element of uncertainty.
etc., used in the statements above involve an element of uncertainty.
For example, in (1), ‘probably rain’ will mean it may rain or may
For example, in (1), ‘probably rain’ will mean it may rain or may
on blue is one fourth.
on blue is one fourth.
'''Impossible
'''Impossible'''
Event '''is
Event '''is'''
an event that can never occur. The probability of landing on purple
an event that can never occur. The probability of landing on purple
after spinning the spinner is impossible as it is
after spinning the spinner is impossible as it is
colour.
colour.
'''Certain
'''Certain'''
events:'''
events:
That the event will surely occur. If we consider the situation where
That the event will surely occur. If we consider the situation where
A
A
particular trial is an '''event''' with a particular outcome head.
particular trial is an '''event''' with a particular outcome head.
Now if we say let n be the number of trials, then the '''experimental
Now if we say let n be the number of trials, then the '''experimental'''
probability P(E)''' of an event E happening is given by
probability P(E)''' of an event E happening is given by'''
[[Image:KOER%20Probability,%20Permutations%20and%20Combinations_html_68e91ef4.gif]]
[[Image:KOER%20Probability,%20Permutations%20and%20Combinations_html_68e91ef4.gif]]
where 0 means it is impossible for the event to occur and 1 means its certain to occur.
where 0 means it is impossible for the event to occur and 1 means its certain to occur.
The
The
'''theoretical
'''theoretical'''
probability
(also called classical probability) of an event E, written as P(E),
(also called classical probability) of an event E, written as P(E),
where we assume that the outcome of the events are ''equally
where we assume that the outcome of the events are ''equally''
likely''
likely
[[Image:KOER%20Probability,%20Permutations%20and%20Combinations_html_48cf88f6.gif]]
[[Image:KOER%20Probability,%20Permutations%20and%20Combinations_html_48cf88f6.gif]]
example, to find the experimental probability of winning a game, one
example, to find the experimental probability of winning a game, one
must play the game many times, then divide the number of games won by
must play the game many times, then divide the number of games won by
the total number of games played '''P''''''robability'''
the total number of games played '<nowiki/>''P'<nowiki/>'''''robability'''
The measure of how likely it is for an event to
The measure of how likely it is for an event to
= Teaching Outlines =
= Teaching Outlines =
==Concept #1 Introduction to Probability==
==Concept - 1 Experimental Probability==
=== Learning objectives ===
Perform a random experiment and tabulate results and calculate the experimental probability of some events.
=== Notes for teachers ===
===Learning objectives===
=== Activities ===
# Activity No 1: Experimental_Probability_Activity1
== Concept - 2 Introduction to Probability ==
=== Learning objectives ===
#Understand that events occur with different frequencies
#Understand that events occur with different frequencies
#Different events have different likelihoods (likely, unlikely, equally likely, not equally likely)
#Different events have different likelihoods (likely, unlikely, equally likely, not equally likely)
#Understand the idea of sample space and universe of events
#Understand the idea of sample space and universe of events
===Notes for teachers===
===Notes for teachers===
#Compare the results across groups.
#Compare the results across groups.
#To develop an understanding of what chance means?
#To develop an understanding of what chance means?
===Activities===
===Activities===
#Activity No #1 '''[[probability_introduction_activity1]]'''
#Activity No #1 '''[[probability_introduction_activity1]]'''
#Activity No #2 '''[[probability_introduction_activity2]]'''
#Activity No #2 '''[[probability_introduction_activity2]]'''
==Concept #2 Different types of events==
==Concept #2 Different types of events==
===Notes for teachers===
===Notes for teachers===
===Activities===
===Activities===
#Activity No #1 '''[[probability_types_of_events_activity1]]'''
#Activity No #1 '''[[probability_types_of_events_activity1]]'''
#Activity No #2 '''[[probability_types_of_events_activity2]]'''
#Activity No #2
==Concept #3 Conditional probability==
==Concept #3 Conditional probability==