The gambler's fallacy - probability of getting heads again after repeatedly getting heads

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Xiaodan Leng 5 years, 8 months ago

Created this as a copy of The gambler's fallacy - probability of getting heads again after repeatedly getting heads.

Name	Status	Author	Last Modified
Identify independent events	Should not be used	Elliott Fletcher	20/11/2019 14:40
The gambler's fallacy - probability of getting heads again after repeatedly getting heads	Ready to use	Christian Lawson-Perfect	20/11/2019 14:43
Maria's copy of The gambler's fallacy - probability of getting heads again after repeatedly getting heads	draft	Maria Aneiros	27/05/2019 02:29
The gambler's fallacy - probability of getting heads again after repeatedly getting heads	draft	Xiaodan Leng	11/07/2019 02:00
SA15 Intuitive Probability	Ready to use	Upuli Wickramaarachchi	04/04/2024 11:33

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Question statement

Give any introductory information the student needs.

			Name	Type	Generated Value

no_flips

integer

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(6..9)

JME function reference

Description

Number of flips of the coin

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

This variable doesn't seem to be used anywhere.

Advice

When we flip an unbiased coin there are two possible events that we could measure: the coin lands on heads or the coin lands on tails.

Each toss of the coin is independent; if we flip a coin once and it lands on heads then the next time we flip the coin it is still equally likely to land on either heads or tails.

It doesn't matter what the coin landed on previously as this outcome does not affect the outcome of the next flip of the coin.

Even when we flip an unbiased coin $\var{no_flips}$ times and it lands on heads each time; the next time we flip the coin, it is still equally likely to land on either heads or tails.

So the probability that the coin lands on heads the next time that the coin is flipped is still $\displaystyle\frac{1}{2}$ .

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The gambler's fallacy - probability of getting heads again after repeatedly getting heads

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Xiaodan Leng 5 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Number entry

Advanced settings

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Error

The gambler's fallacy - probability of getting heads again after repeatedly getting heads

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Xiaodan Leng 5 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Number entry

Advanced settings

Generated value: `integer`