I have an unopened 2006-D Roll of Sacagawea Dollar Coins from the U.S. Mint and it only shows Reverse sides on both sides of the roll. Is this normal? I've never seen the coins inside, but I still have the recept and it clearly shows 2006-D Sacagawea roll. The roll also displays a bold "D" in the roll design. See the photos attached below. I took pictures of both sides facing up and some close ups of the reverse too. Did the machine or worker screw up? hehe, it's kind of annoying actually since I can't see the obverse side, but I don't want to open it either.
They are rolled randomly. As explained in other threads you've got a 50/50 shot. It's normal. Edit: The pics are great!
Here is a simple lesson in statistics. Flip 2 coins. (These coins represent the coin faces showing at the ends of a roll.) Record the results (e.g., heads + heads, tails + tails and heads + tails). Repeat as many times as you wish. The more repetitions the better the results. If you do the test enough times you should see results something like: heads + heads = 25% tails + tails = 25% heads + tails = 50% What this tells you is that the way the coins face is completely random. This is also true for how the end coins face in a roll. Half the time the coin at one end has its obverse visible; half the time its reverse is visible. Half the time the coin at the other end has its obverse visible; half the time its reverse is visible. The combinations are also completely random and the odds of each combination are equal: obverse + obverse = 25% reverse + reverse = 25% obverse + reverse = 25% reverse + obverse = 25% (obverse + reverse and reverse + obverse are really the same thing so the odds of having opposite faces showing on the ends of a roll are 25% + 25% or 50%) Hope this helps.
I'm weak at the knees. I don't know what to do.... For Five years, in another life, I was a 10th grade Math Teacher. I would go over this with the kiddies. Probability is in the same arena as "percentages" and long-division. About half the class is going to get it right away, another 25-40% will pick it up - more or less and then there are 10-20% that just aren't going to get it. And of course, as a teacher, you work with the 10-20%. and you work. and you work. and you work. and then you become a coin collector......
Hobo...your good, you would make a good poker player if you could keep a straight face. That kind of mental math is 1/2 the game. I'm cursed as well with that talent.
To sum it up: Odds of tails on both ends: 25% Odds of heads on both ends: 25% Odds of heads on one end, tails on the other: 50%
Ok, you flip a coin. It comes up heads 3 times in a row. What are the odds it will come up heads again on the 4th flip?
Hey Arizona Jack - Basically, what Hobo is saying is that it is perfectly normal that there are 1909-S VDB's at the end of shotgun rolls. Statistically, this hasn't happened in dozens and dozens of years. So, based on statistical models that are locked up in the basement of Fort Knox, it is ABOUT TIME that some 1909-S VDB's started showing up on the end of these rolls. Oh, and I got some hot info JUST for CoinTalk members - ELVIS will be signing autographs at the BP station in Williamsburg, Iowa on Friday - 9 a.m. to noon. Also, if you fill up with gas, you get a free car wash.....
