Here are my calculations based on the reel layout from KK.
I am not so good at Maths so look out for errors.
Where W=wild and Sn = symbol identifier
Number of instances follows = and reel combinations shown in brackets.
Any Two of a Kind or more
W, S1/S2/W, any, any, any = 275,128 (1x7x34x34x34)
S1/S2, W, any, any, any = 235,824 (6x1x34x34x34) * Wild excluded reel 1 because calculated above
510,952 totalx20 lines = 10,219,040
Any Three of a kind using wilds (wilds used above and scatters excluded)
W, S3 to S10, W, any, any = 30,056 (1x26x1x34x34) * scatter excluded from reel 2 (makes no win)
S3 to S10, W, W, any, any = 30,056 (26x1x1x34x34) * scatter excluded from reel 1 (makes no win)
60,112 totalx20 lines = 1,202,240
Any 3 of a kind or more (wilds and scatters excluded)
s1,s1,s1, any, any = 20,808 (3x3x2x34x34)
s2, s2, s2, any, any = 31,212 (3x3x3x34x34) * an oddity?
S3, S3, S3, Any, Any = 20,808 (2x3x3x34x34)
S4, S4, S4, Any, Any = 31,212 (3x3x3x34x34)
S5, S5, S5, Any, Any = 31,212 (3x3x3x34x34)
S6, S6, S6, Any, Any = 31,212 (3x3x3x34x34)
S7, S7, S7, Any, Any = 31,212 (3x3x3x34x34)
S8, S8, S8, Any, Any = 55,488 (4x3x4x34x34)
S9, S9, S9, Any, Any = 73,984 (4x4x4x34x34)
S10, S10, S10, Any, Any = 73,984 (4x4x4x34x34)
401,132 totalx20 lines = 8,022,640
Any 2 scatters or more
353,736 (3x3x34x34x34) * 3 because scatter
353,736 totalx10 = 3,537,360 * Multiply by 10 possible 2 of a kind combinations on 5 reels
Total winning combinations (note most of these return much lower than bet)
10,219,040
01,202,240
08,022,640
03,537,360
22,981,280 TOTAL
Total possible combinations 45,435,424 (34x34x34x34x34)
22,981,280 in 45,435,424 chance of any spin returning more than zero (1.977* negligibly better than an even chance)
Probability of 50 complimentary spins returning zero = (1/2)^50 = 1,125,899,906,842,624 actually that is calculated at even
money and the odds are actually worse.
To give that number some meaning lets assume that 10,000 people play this offer each and every day, thats 3 million 560
thousand every year. How long before we can expect someone to complain they won zero?
31,626,401 Years! That is over 31 Million years LOL.
I would be surprised if there are no mistakes in my calculations though as I did them manually so if you spot any feel free to
chime in and we can recalculate.