Rolling A 7 In Craps

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Probability Of Rolling A 7 In Craps
Rolling A 7 In Craps
How Many Rolls Without A 7 ? Discussed In Craps/Gambling At ...
No 7 Stars Invite?

1 in 6 The way you calculate this is as follows: There are 36 possible combinations you can get with two dice. Six of those combinations add up to 7 and 30 of those combinations add up to either 6. Each toss of the dice is called a “roll”, and each Player receives a turn. Should the previous Shooter roll a 7-out, the next Player in turn is offered the dice progressing clockwise around the table. THE AIM OF THE GAME The Player rolling the dice is known as the “Shooter” and their first roll is known as the “come out roll”. Since most people bet the Pass Line, they hope and cheer that the come-out roll is a winning 7 or 11. Remember, a 7 is a loser for the Hardway, so this would put the player in an awkward position of hoping a 7 shows on the come-out to win the Pass Line but at the same time hoping that a 7 doesn’t show because the Hardway would lose.

Learn how to play casino craps strategies. Complete tutorials as well as live proof. In this video tutorial I show you the 'Any but 7' or the ' Iron Cross' C. The any seven craps bet, also known as big red, is perhaps the most popular and well known wager in the game of craps. Basically all you are doing is betting that the shooter will roll a 7 on the next roll.

Sanderson M. Smith

Home About Sanderson Smith Writings and Reflections Algebra 2 AP Statistics Statistics/Finance Forum

CRAPS ... A CASINO GAME OF PURECHANCE

Craps is an exciting game with lots of action. Ifyou want to try to double your money quickly on a game of purechance, one of your best opportunities is to bet all of your money onone game of craps. Your probability of winning is just slightly under50%, as will be shown below.

Let me quickly state that I am talking aboutstraight craps,and not the multiple number of side bets you can make while someoneis rolling the dice. The house has only a slight advantage onstraight craps, but has a large advantage on the side bets.

Craps involves the rolling of two dice. Here arethe rules:

If you roll a total of 7 or 11 on the first roll, you win.

If you roll a total of 2, 3, or 12 on the first roll, you lose.

If you roll a total of 4, 5, 6, 8, 9, or 10 on your first roll, this number becomes your point. You continue to roll the dice. If you get your point total before a total of 7 appears, you win. If you roll a total of 7 before your point total appears, you lose.

Note: This is a 1:1 bet. That is, when you win, you win a dollar for each dollar that you bet.

The possible totals obtained from rolling two dice are shown at the right. Note that there are 36 cells containing the totals, and each cell has a probability of 1/36 of being the result of a craps roll.

1	2	3	4	5	6
1	2	3	4	5	6	7
2	3	4	5	6	7	8
3	4	5	6	7	8	9
4	5	6	7	8	9	10
5	6	7	8	9	10	11
6	7	8	9	10	11	12

First off, note that you can win on the firstroll. Your probability of getting 7 or 11 is 8/36, or about 22.22%.You can also win if you roll a total of 4, 5, 6, 8, 9, 10. Thewinning possibilities will be summarized below, but let's first lookat an example of winning with a point total. For instance,what is the probability of winning if youinitially roll a total of 5? Thisinvolves

rolling of 5 on the initial roll, and then
rolling another 5 before you roll a 7.

OK, the probability of rolling a 5 is 4/36. Onceyou have rolled the 5, the only cells (check table above) that matterare the ones containing 5 and 7. Every other cell can be ignored.There are ten cells containing 5 or 7. Four of these cells are'favorable' to you. The probability that you will roll a 5 before a 7is 4/10. Hence, the probability of rolling a 5, and then rolling a 5before a 7 is (4/36)(4/10), or about 4.44%.

Here is a summary of your winning probabilities incraps:

YOUR INITIAL TOTAL	PROBABILITY OF WINNING	PROBABILITY WRITTEN AS DECIMAL
4	(3/36)(3/9)	0.027778
5	(4/36)(4/10)	0.044444
6	(5/36)(5/11)	0.063131
7	6/36	0.166667
8	(5/36)(5/11)	0.063131
9	(4/36)(4/10)	0.044444
10	(3/36)(3/9)	0.027778
11	2/36	0.055556
TOTAL		0.492929

In craps, if you are not the roller, you can betwith the roller (who is called the shooter) by putting your moneyon the Pass Line. You are making what is known as a Pass Bet. As the tableindicates, the probability of winning a Pass Bet is 49.29%.

The casino (sometimes called the house) has a 50.71% probabilityof winning. Hence, the casino has a 1.4% advantage on any Pass Bet.

Interestingly, it is possible for you to bet withthe casino, and against the shooter. To do this, you put your moneyon the Don't Pass Line. However, if you place a Don'tPass Bet, and the shooter initially rollsa 12, the casino wins, but youdon't. You don'tlose your bet, but you don't win anything.The probabilities associated with a Don't Pass bet are asfollows:

Event	Probability
TIE on Don't Pass bet.	1/36 = 0.027778
WIN on Don't Pass bet	0.507071 - (1/36) = 0.479293
LOSE on Don't Pass bet	1 - (1/36) - 0.479293 = 0.492929

Probability Of Rolling A 7 In Craps

Now, on the tie, nobody wins. So, let's ignorethe tie situation. If we reduce this to a win/lose situation, theprobability that a Don't Pass Bet wins is .479293/(.479293 + .492929)= .492987 and the probability that a Don't Pass Bet loses is 1 -.492987 = .507013. Simple subtraction shows that by barring the 12total to the Don't Pass bettor, the casino maintains a 1.4% advantageover the player.

The casino has only a slight edge in craps. But,in the long run, the game is a money-maker for the casino since thecasino plays on indefinitely, and needs only the slightest advantageto 'come out ahead.' And, the casino managers are delighted whencraps players bet on the many other various options associated withthe game. From the player's standpoint, these options are not goodbets.

You won't make a living playing craps at a casino. About all that can be said is that you won't lose your money quiteas fast as you will in other casino games of pure chance.