Probability Question
Q - "Taylor has bought a 10-sided dice.
Taylor was not sure if the dice was a fair dice. He carried out an experiment. He recorded the number of sixes he threw in every 10 throws of the dice.
Taylor says that the dice is not a fair dice.
Explain why Taylor’s statement could be true."
The number of 6's produced shows that the dice is more likely to be fair than not. I understand that the answer could simply be the fact that the dice hasn't been tested enough times for it produce a biased result or that it could be biased towards a different number other than 6. I still just want to make sure so any suggestions would be greatly appreciated.
P.S. Sorry for asking such a trivial question; probability isn't my strongest area so I am being overly cautious.
Taylor was not sure if the dice was a fair dice. He carried out an experiment. He recorded the number of sixes he threw in every 10 throws of the dice.
| Number of throws | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| Number of 6’s | 4 | 3 | 2 | 3 | 2 | 4 | 2 | 4 | 3 | 2 |
Taylor says that the dice is not a fair dice.
Explain why Taylor’s statement could be true."
The number of 6's produced shows that the dice is more likely to be fair than not. I understand that the answer could simply be the fact that the dice hasn't been tested enough times for it produce a biased result or that it could be biased towards a different number other than 6. I still just want to make sure so any suggestions would be greatly appreciated.
P.S. Sorry for asking such a trivial question; probability isn't my strongest area so I am being overly cautious.
Yeah, that's right I believe.
You could add what an approximate number of throws should have been and compare it to how many sixes he got.
You could add what an approximate number of throws should have been and compare it to how many sixes he got.
Original post by utah
Q - "Taylor has bought a 10-sided dice.
Do you know about hypothesis tests?
Original post by tombayes
Do you know about hypothesis tests?
Nope
It's probably a GCSE question
You get an average of 2.6 per ten throws: expectation value 1.66667 so could well be unfair as you aren't very close at all!
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Original post by Random1357
You get an average of 2.6 per ten throws: expectation value 1.66667 so could well be unfair as you aren't very close at all!
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Posted from TSR Mobile
Where does your 1.67 come from
The expectation value would be 1, surely
Original post by TenOfThem
Where does your 1.67 come from
The expectation value would be 1, surely
The expectation value would be 1, surely
For 10 rolls of a fair dice you expect a 6 1/6th of the time.
That is on average you get 10/6 =1.666667 sixes
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Original post by Random1357
For 10 rolls of a fair dice you expect a 6 1/6th of the time.
That is on average you get 10/6 =1.666667 sixes
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That is on average you get 10/6 =1.666667 sixes
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Ten sided, one tenth.
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Sorry, didn't see that: then yes you expect 1, which makes the difference between expectation and actual even greater!
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Posted from TSR Mobile
Original post by Random1357
For 10 rolls of a fair dice you expect a 6 1/6th of the time.
That is on average you get 10/6 =1.666667 sixes
Posted from TSR Mobile
That is on average you get 10/6 =1.666667 sixes
Posted from TSR Mobile
I had assumed there was only one 6 on the 10 sided dice
So I would expect a 6 one tenth of the rolls 10/10 = 1 six
Sorry everyone I completely missed out on the fact that the dice was 10 sided. It all makes sense now. Thanks for all the comments.
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