european roulette

Could someone, please, run the probability on the following particular combinations not being hit after 37, 45 & 60 spins?

six line
corner
street

Does the fact that the numbers are grouped and not scattered make any difference to the probability?

I'll start with your second question:

Grouped or scattered on the layout doesn't matter.

Grouped or scattered on the wheel matters only if you believe the dealer is successful at hitting, or avoiding, specific zones on the wheel.

Otherwise, a 'street' is no different than any 3 specific numbers.



Now, for the math.

The difficulty in coming up with a fomula is in the wording. It's hard to figure out how often something doesn't happen. But it's simple to figure out how often something does happen.

For example, the odds that a single number will not appear, is really the odds that any other number WILL appear. On a single zero wheel, it's 36/37. The odds that it doesn't appear in 5 spins is (36/37)^5. The odds that 3 numbers don't appear in five spins is (34/37)^5

Therefore, the all-purpose formula you need is:

( ( W - N ) / W ) ^ S

W = Wheel: 37 or 38
N = Number of numbers to be excluded
S = Numper of spins

Got it?

Thanks.

By the way, the answer to your specific question, along with some additional data, is:

	1	10	37	45	60	100
1	97.29729730%	76.03398749%	36.28513456%	29.14304665%	19.32175638%	6.45769709%
3	91.89189189%	42.93109144%	4.37780225%	2.22573617%	0.62608252%	0.02126764%
4	89.18918919%	31.85093297%	1.45061440%	0.58083090%	0.10440780%	0.00107454%
6	83.78378378%	17.04510566%	0.14352213%	0.03484967%	0.00245244%	0.00000207%

PS:

Quote: DJTeddyBear

Grouped or scattered on the wheel matters only if you believe the dealer is successful at hitting, or avoiding, specific zones on the wheel.

... Or if the wheel has a bias.

Quote: DJTeddyBear

odds that 3 numbers don't appear in five spins is (34/37)^5

That's the probability that none of the three appears. If you are looking for the odds of all three showing up, it's not 1 minus that.

Quote: weaselman

That's the probability that none of the three appears.

That's what the original poster asked for.

Never mind then ... I guess, I need a crash course on the roulette terminology ... I thought, "street" meant something like three sequential numbers by analogy with poker ...

No problem.

FYI:

A street is a standard roulette term referring to three numbers across on the table layout. The bet for this is placed on the line between the left most number in the street and the dozens bet next to it.

A corner refers to four numbers that share a common corner - which is where the bet is placed.

A six line is two ajacent streets. The bet is placed on the common corner that borders the dozens bet.

"A six line is two ajacent streets" >>> Say what? How many are there? Ken

Quote: mrjjj

"A six line is two ajacent streets" >>> Say what? How many are there? Ken

Streets? 12.
Six-lines? 11.

To clarify, a street is 3 consecutive numbers, eg 1-2-3, 10-11-12, 34-35-36.

A six line covers 6 consecutive numbers eg 1-2-3-4-5-6