Difference between revisions of "Experimental Probability Activity 1"

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(Created page with "=== Objectives === === Estimated Time === === Prerequisites/Instructions, prior preparations, if any === === Materials/ Resources needed === === Process (How to do the act...")
 
 
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=== Objectives ===
 
=== Objectives ===
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Perform a random experiment and tabulate results and calculate the experimental probability of some events
  
 
=== Estimated Time ===
 
=== Estimated Time ===
  
 
=== Prerequisites/Instructions, prior preparations, if any ===
 
=== Prerequisites/Instructions, prior preparations, if any ===
 +
Divide the class into groups of 2 or 3 students. Let a student in each group toss a coin 15 times. Another student in each group should record the observations regarding heads and tails. [Note that coins of the same denomination should be used in all the groups. It will be treated as if only one coin has been tossed by all the groups.
  
 
=== Materials/ Resources needed ===
 
=== Materials/ Resources needed ===
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Coins , Paper, Pencil
  
 
=== Process (How to do the activity) ===
 
=== Process (How to do the activity) ===
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Now, on the blackboard, make a table like below.
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First, Group 1 can write down its observations and calculate the
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resulting fractions. Then Group 2 can write down its observations,
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but will calculate the fractions for the combined data of Groups 1
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and 2, and so on. (We may call these fractions as cumulative fractions.)
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{| border="1"
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Group (1)
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Number of Heads(2)
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Number of Tails (3)
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Cumulative Number of Heads/ Total Number of
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times Coin is tossed (5)
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Cumulative Number of Tails/ Total Number of
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times Coin is tossed (6)
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|-
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1
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3
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12
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[[Image:KOER%20Probability,%20Permutations%20and%20Combinations_html_7c272b07.gif]]
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[[Image:KOER%20Probability,%20Permutations%20and%20Combinations_html_6478c3e8.gif]]
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2
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7
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8
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[[Image:KOER%20Probability,%20Permutations%20and%20Combinations_html_fafe876.gif]]
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[[Image:KOER%20Probability,%20Permutations%20and%20Combinations_html_2c704432.gif]]
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|}
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=== Evaluation at the end of the activity ===
 
=== Evaluation at the end of the activity ===
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What do you observe in the table? You will find that as the total number of tosses of the coin increases, the values of the fractions in Columns (4) and (5) come nearer  and nearer to 0.5.
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[[Category:Probability]]

Latest revision as of 10:00, 30 January 2020

Objectives

Perform a random experiment and tabulate results and calculate the experimental probability of some events

Estimated Time

Prerequisites/Instructions, prior preparations, if any

Divide the class into groups of 2 or 3 students. Let a student in each group toss a coin 15 times. Another student in each group should record the observations regarding heads and tails. [Note that coins of the same denomination should be used in all the groups. It will be treated as if only one coin has been tossed by all the groups.

Materials/ Resources needed

Coins , Paper, Pencil

Process (How to do the activity)

Now, on the blackboard, make a table like below. First, Group 1 can write down its observations and calculate the resulting fractions. Then Group 2 can write down its observations, but will calculate the fractions for the combined data of Groups 1 and 2, and so on. (We may call these fractions as cumulative fractions.)

Group (1)


Number of Heads(2)


Number of Tails (3)


Cumulative Number of Heads/ Total Number of times Coin is tossed (5)


Cumulative Number of Tails/ Total Number of times Coin is tossed (6)


1


3


12


KOER Probability, Permutations and Combinations html 7c272b07.gif


KOER Probability, Permutations and Combinations html 6478c3e8.gif


2


7


8


KOER Probability, Permutations and Combinations html fafe876.gif


KOER Probability, Permutations and Combinations html 2c704432.gif


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Evaluation at the end of the activity

What do you observe in the table? You will find that as the total number of tosses of the coin increases, the values of the fractions in Columns (4) and (5) come nearer and nearer to 0.5.

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