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 Replies: 10 / Views: 1,818 |
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Pillar of the Community
Canada
623 Posts |
How rare would a toonie roll with Queen's head and GITD
ends be ? Any math pros out there ?
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Pillar of the Community
Canada
849 Posts |
Odds of left end being Queens head is one half. Odds of right end being coloured is one-third times one-half showing outwards = one-sixth. So odds of both queens head left and colours-outward is 1/2 times 1/6 = 1/12.
Same odds for colored on left, queen on right. So odds of coloured either end with head on opposite end should be 1/12 plus 1/12 = 2/12 or 1/6 or 17%. I m a retired math teacher but I stress retired so I could be off on this but I feel it is right. I am sticking with 17%.
The test is on Tuesday.
Edited by punman
04/16/2017 4:07 pm
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Pillar of the Community
Canada
659 Posts |
Quote:
Same odds for colored on left, queen on right. So odds of coloured either end with head on opposite end should be 1/12 plus 1/12 = 2/12 or 1/6 or 17%. I m a retired math teacher but I stress retired so I could be off on this but I feel it is right. I am sticking with 17%.
The test is on Tuesday. Thanks, punman! Here's another practice drill for your test on Tuesday...lol What are the odds of toonie coloured at one end and regular toonie reverse on the other? (too lazy to figure it out) |
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Pillar of the Community
Canada
6768 Posts |
But I not sure, that were minted same amount of GITD and regular coins. I think, the proportion is unknown.
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Pillar of the Community
Canada
659 Posts |
@Silveroid
In the "Question" section the mint site states:
"average distribution is approximately a 2:1 ratio of uncoloured to coloured for the $2 roll. Please keep in mind that this is only an estimate."
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Pillar of the Community
Canada
849 Posts |
Quote:
What are the odds of toonie coloured at one end and regular toonie reverse on the other? (too lazy to figure it out) Do you want the non-head sides facing out in both cases? |
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Pillar of the Community
Canada
659 Posts |
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Do you want the non-head sides facing out in both cases? Yes, please. I have a toonie roll with the coloured reverse on one end, and the non-coloured reverse at the other end. I think this might be rare. |
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Pillar of the Community
Canada
849 Posts |
Without boring you with the math it is a little rarer than the other case but not by much. It is 1/9 or 11% chance. If you bought 8-10 rolls you'd probably get one with this configuration but not guaranteed. You might get none, you might get three. Probability predicts likelihood, not certainty (unless chances are 0% or 100%).
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Pillar of the Community
 Canada
623 Posts |
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Pillar of the Community
Canada
659 Posts |
Thank you very much punman. I appreciate your answer!
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Pillar of the Community
Canada
6768 Posts |
Quote:
"average distribution is approximately a 2:1 ratio of uncoloured to coloured for the $2 roll. Please keep in mind that this is only an estimate." thank you, Looney |
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Replies: 10 / Views: 1,818 |
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Posted 04/16/2017 6:49 pm
