Greatest 7 Shooter in the World - 09 December 2011 06:11 AM
Instead of 3 chances to loose now i have 6 chances to loose for the same payout.
Regarding laying both the 4 and 10 vs. only the 4 or 10, that’s somewhat true… you have six combinations where you lose something as opposed to three combinations where you lose everything. You cannot lose both the 4 and 10 on the same throw, so you can’t really compare the two situations like that.
Greatest 7 Shooter in the World - 16 December 2011 03:13 AM
Now adding the 10 would only add to my losses and gain me nothing that is why anyone who does a 4/10 lay is a dog on odds.
Yes, but that’s true only if you’re concerned about tallying the number of throws you win and lose on - ignoring the dollar value of those wins and losses.
Greatest 7 Shooter in the World - 10 December 2011 03:29 AM
by adding 2 numbers yes you only loose half but you are going to open up 3 more chances to loose half and not gain anymore chances to win i.e. 7’s.
This should be acceptable. Lose half as much, but open up twice as many combinations to do so. There are no changes in your payout when you win via the 7, so why should you gain any more combinations to win?
I think what people are trying to tell you (and what you already may know) is that while halving your bet and spreading it to both the 4 AND 10 does not “gain” you anything on a seven-out, it also avoids the situation where the number you bet on (either the 4 OR 10) wipes out your total action.
Let’s talk about a specific choice you may have at a table with $410 in your hand…
Choice A, you lay either the 4 OR 10 for $410.
Choice B, you lay both the 4 AND 10 for $205 each, $410 total action.
Expected outcome = chances of winning (having avoided a thrown 4 or 10) * amount won + chances of losing * amount lost
Note: The vig has already been paid, so is not used in these calculations.
If NEITHER the 4 nor 10 are thrown before the 7:
A: 100% * $200 + 0% * $0 = $200
B: 100% * ($100+$100) + 0% * $0 = $200
If BOTH the 4 AND 10 are thrown before a 7:
A: 0% * $0 + 100% * -$400 = -$400
B: 0% * $0 + 100% * (-$200+-$200) = -$400
These two examples are self-explanatory. If neither the 4 or 10 are thrown, both types of players will win their total action. And if both the 4 and 10 are thrown, both players will lose their total action. Now if you assume that only the 4 OR 10 will be thrown:
If EITHER the 4 OR 10 are thrown before a 7:
A: 50% * $200 + 50% * -$400 = -$100 (There is a 50% chance that you decided to bet on the number that was thrown, but there is also a 50% chance that you decided to bet on the number that wasn’t thrown.
B: 100% * $100 + 100% * -$200 = -$100 (One of your bets has 100% chance of winning, while the other has a 100% chance of losing… we don’t know which is which until the dice are thrown, but it doesn’t matter. If you assume only one of them will be thrown, your expected outcome is the same.)