Probability of 6 different sixlines in a row?

[Elupuki]

Ciao everyone. I was just wondering if theres anyone to help me out. I usually play on the sixlines and want to know what is the probability of getting 6 different sixlines in a row ( say 2 3 4 5 6 and 1 or whatever order). I just cant find a way to count it (and yes, math isnt my favorite subject ). So it would be appreciated if somebody could explain it.

Ps. Taking "0" into acount isnt necessairy

Thank you all

[Elupuki]

with my calculations i got the probability of 0.020294736 or 2% (took "0" into account). Not sure if it is right though :s

[Bayes]

Hi Elupuki,

The easiest way to work it out (ignoring the zero) is to use combinatorics, or counting the number of ways you can get each sixline different in 6 spins. If you divide this by the number of ways you can get sixlines without this restriction (that they all be different) that will give you the probability.

On the 1st spin, there are 6 sixlines possible, on the 2nd there are only 5 (because you've "used up" one). In a similar way, on the 3rd spin there are only 4 sixlines "available", as it were. In total, there are 6 × 5 × 4 × 3 × 2 × 1 = 720 ways in which the sixlines can all be different. The number of ways in which they can arise when it's not required that they be different is just 6⁶ = 46,656 (because on each spin any sixline can hit, you're not excluding those which have already hit). Therefore the probability is 720/46,656 = 1.54%

If you want to take into account the zero, you'd expect the % to be less, and using another method the answer is 1.31%.

[Elupuki]

Thank you Bayes very much, its appreciated:) i was on the right track with my calculation, although i did it differently. Must be hit the wrong button which resulted in 2,02% and not 1,54%.

What do you think about playing on the six lines?. I've been playing it for a while now. The probability of getting six different in a row is pretty low, but i know the losing streak will eventually hit. And of course the potential loss is bigger hten winnings and mathematical expectation is negative. But anyways, 1.54% plus keeping the sessions short gives me good results so far.

[Bayes]

I usually play the ECs. I assume you wait for the first spin then bet for repeaters of the sixlines?