Irish Lotto Bucket Combination Distribution

The Irish Lotto requires a player to Pick 6 numbers out of a set of 45 white balls. If the player picks the same numbers as those that are drawn in the next drawing, the player wins the Jackpot prize.

While everyone says that every combination has an equal chance of winning, Lottery Power Picks and others, believe that certain combinations are more likely to occur than others.

The following Table summarize the occurances of the Lottery Ball Bucket Distribution of all Irish Lotto combinations for the white balls.

The Irish Lotto white balls are numbered 1 to 45. The player selects 5 of these numbers. The table below shows the probability of each of the balls falling within a decimal range: 0-9; 10-19; 20-29; 30-39; and 40-45.
 Table I6-2a: Irish Lotto Bucket Distribution Count Bucket 1-9 Bucket 10-19 Bucket 20-29 Bucket 30-39 Bucket 40-45 Num Combos Pct Combos 1 6 0 0 0 0 84 0.0% 2 5 1 0 0 0 1,260 0.0% 3 5 0 1 0 0 1,260 0.0% 4 5 0 0 1 0 1,260 0.0% 5 5 0 0 0 1 756 0.0% 6 4 2 0 0 0 5,670 0.1% 7 4 1 1 0 0 12,600 0.2% 8 4 1 0 1 0 12,600 0.2% 9 4 1 0 0 1 7,560 0.1% 10 4 0 2 0 0 5,670 0.1% 11 4 0 1 1 0 12,600 0.2% 12 4 0 1 0 1 7,560 0.1% 13 4 0 0 2 0 5,670 0.1% 14 4 0 0 1 1 7,560 0.1% 15 4 0 0 0 2 1,890 0.0% 16 3 3 0 0 0 10,080 0.1% 17 3 2 1 0 0 37,800 0.5% 18 3 2 0 1 0 37,800 0.5% 19 3 2 0 0 1 22,680 0.3% 20 3 1 2 0 0 37,800 0.5% 21 3 1 1 1 0 84,000 1.0% 22 3 1 1 0 1 50,400 0.6% 23 3 1 0 2 0 37,800 0.5% 24 3 1 0 1 1 50,400 0.6% 25 3 1 0 0 2 12,600 0.2% 26 3 0 3 0 0 10,080 0.1% 27 3 0 2 1 0 37,800 0.5% 28 3 0 2 0 1 22,680 0.3% 29 3 0 1 2 0 37,800 0.5% 30 3 0 1 1 1 50,400 0.6% 31 3 0 1 0 2 12,600 0.2% 32 3 0 0 3 0 10,080 0.1% 33 3 0 0 2 1 22,680 0.3% 34 3 0 0 1 2 12,600 0.2% 35 3 0 0 0 3 1,680 0.0% 36 2 4 0 0 0 7,560 0.1% 37 2 3 1 0 0 43,200 0.5% 38 2 3 0 1 0 43,200 0.5% 39 2 3 0 0 1 25,920 0.3% 40 2 2 2 0 0 72,900 0.9% 41 2 2 1 1 0 162,000 2.0% 42 2 2 1 0 1 97,200 1.2% 43 2 2 0 2 0 72,900 0.9% 44 2 2 0 1 1 97,200 1.2% 45 2 2 0 0 2 24,300 0.3% 46 2 1 3 0 0 43,200 0.5% 47 2 1 2 1 0 162,000 2.0% 48 2 1 2 0 1 97,200 1.2% 49 2 1 1 2 0 162,000 2.0% 50 2 1 1 1 1 216,000 2.7% 51 2 1 1 0 2 54,000 0.7% 52 2 1 0 3 0 43,200 0.5% 53 2 1 0 2 1 97,200 1.2% 54 2 1 0 1 2 54,000 0.7% 55 2 1 0 0 3 7,200 0.1% 56 2 0 4 0 0 7,560 0.1% 57 2 0 3 1 0 43,200 0.5% 58 2 0 3 0 1 25,920 0.3% 59 2 0 2 2 0 72,900 0.9% 60 2 0 2 1 1 97,200 1.2% 61 2 0 2 0 2 24,300 0.3% 62 2 0 1 3 0 43,200 0.5% 63 2 0 1 2 1 97,200 1.2% 64 2 0 1 1 2 54,000 0.7% 65 2 0 1 0 3 7,200 0.1% 66 2 0 0 4 0 7,560 0.1% 67 2 0 0 3 1 25,920 0.3% 68 2 0 0 2 2 24,300 0.3% 69 2 0 0 1 3 7,200 0.1% 70 2 0 0 0 4 540 0.0% 71 1 5 0 0 0 2,268 0.0% 72 1 4 1 0 0 18,900 0.2% 73 1 4 0 1 0 18,900 0.2% 74 1 4 0 0 1 11,340 0.1% 75 1 3 2 0 0 48,600 0.6% 76 1 3 1 1 0 108,000 1.3% 77 1 3 1 0 1 64,800 0.8% 78 1 3 0 2 0 48,600 0.6% 79 1 3 0 1 1 64,800 0.8% 80 1 3 0 0 2 16,200 0.2% 81 1 2 3 0 0 48,600 0.6% 82 1 2 2 1 0 182,250 2.2% 83 1 2 2 0 1 109,350 1.3% 84 1 2 1 2 0 182,250 2.2% 85 1 2 1 1 1 243,000 3.0% 86 1 2 1 0 2 60,750 0.7% 87 1 2 0 3 0 48,600 0.6% 88 1 2 0 2 1 109,350 1.3% 89 1 2 0 1 2 60,750 0.7% 90 1 2 0 0 3 8,100 0.1% 91 1 1 4 0 0 18,900 0.2% 92 1 1 3 1 0 108,000 1.3% 93 1 1 3 0 1 64,800 0.8% 94 1 1 2 2 0 182,250 2.2% 95 1 1 2 1 1 243,000 3.0% 96 1 1 2 0 2 60,750 0.7% 97 1 1 1 3 0 108,000 1.3% 98 1 1 1 2 1 243,000 3.0% 99 1 1 1 1 2 135,000 1.7% 100 1 1 1 0 3 18,000 0.2% 101 1 1 0 4 0 18,900 0.2% 102 1 1 0 3 1 64,800 0.8% 103 1 1 0 2 2 60,750 0.7% 104 1 1 0 1 3 18,000 0.2% 105 1 1 0 0 4 1,350 0.0% 106 1 0 5 0 0 2,268 0.0% 107 1 0 4 1 0 18,900 0.2% 108 1 0 4 0 1 11,340 0.1% 109 1 0 3 2 0 48,600 0.6% 110 1 0 3 1 1 64,800 0.8% 111 1 0 3 0 2 16,200 0.2% 112 1 0 2 3 0 48,600 0.6% 113 1 0 2 2 1 109,350 1.3% 114 1 0 2 1 2 60,750 0.7% 115 1 0 2 0 3 8,100 0.1% 116 1 0 1 4 0 18,900 0.2% 117 1 0 1 3 1 64,800 0.8% 118 1 0 1 2 2 60,750 0.7% 119 1 0 1 1 3 18,000 0.2% 120 1 0 1 0 4 1,350 0.0% 121 1 0 0 5 0 2,268 0.0% 122 1 0 0 4 1 11,340 0.1% 123 1 0 0 3 2 16,200 0.2% 124 1 0 0 2 3 8,100 0.1% 125 1 0 0 1 4 1,350 0.0% 126 1 0 0 0 5 54 0.0% 127 0 6 0 0 0 210 0.0% 128 0 5 1 0 0 2,520 0.0% 129 0 5 0 1 0 2,520 0.0% 130 0 5 0 0 1 1,512 0.0% 131 0 4 2 0 0 9,450 0.1% 132 0 4 1 1 0 21,000 0.3% 133 0 4 1 0 1 12,600 0.2% 134 0 4 0 2 0 9,450 0.1% 135 0 4 0 1 1 12,600 0.2% 136 0 4 0 0 2 3,150 0.0% 137 0 3 3 0 0 14,400 0.2% 138 0 3 2 1 0 54,000 0.7% 139 0 3 2 0 1 32,400 0.4% 140 0 3 1 2 0 54,000 0.7% 141 0 3 1 1 1 72,000 0.9% 142 0 3 1 0 2 18,000 0.2% 143 0 3 0 3 0 14,400 0.2% 144 0 3 0 2 1 32,400 0.4% 145 0 3 0 1 2 18,000 0.2% 146 0 3 0 0 3 2,400 0.0% 147 0 2 4 0 0 9,450 0.1% 148 0 2 3 1 0 54,000 0.7% 149 0 2 3 0 1 32,400 0.4% 150 0 2 2 2 0 91,125 1.1% 151 0 2 2 1 1 121,500 1.5% 152 0 2 2 0 2 30,375 0.4% 153 0 2 1 3 0 54,000 0.7% 154 0 2 1 2 1 121,500 1.5% 155 0 2 1 1 2 67,500 0.8% 156 0 2 1 0 3 9,000 0.1% 157 0 2 0 4 0 9,450 0.1% 158 0 2 0 3 1 32,400 0.4% 159 0 2 0 2 2 30,375 0.4% 160 0 2 0 1 3 9,000 0.1% 161 0 2 0 0 4 675 0.0% 162 0 1 5 0 0 2,520 0.0% 163 0 1 4 1 0 21,000 0.3% 164 0 1 4 0 1 12,600 0.2% 165 0 1 3 2 0 54,000 0.7% 166 0 1 3 1 1 72,000 0.9% 167 0 1 3 0 2 18,000 0.2% 168 0 1 2 3 0 54,000 0.7% 169 0 1 2 2 1 121,500 1.5% 170 0 1 2 1 2 67,500 0.8% 171 0 1 2 0 3 9,000 0.1% 172 0 1 1 4 0 21,000 0.3% 173 0 1 1 3 1 72,000 0.9% 174 0 1 1 2 2 67,500 0.8% 175 0 1 1 1 3 20,000 0.2% 176 0 1 1 0 4 1,500 0.0% 177 0 1 0 5 0 2,520 0.0% 178 0 1 0 4 1 12,600 0.2% 179 0 1 0 3 2 18,000 0.2% 180 0 1 0 2 3 9,000 0.1% 181 0 1 0 1 4 1,500 0.0% 182 0 1 0 0 5 60 0.0% 183 0 0 6 0 0 210 0.0% 184 0 0 5 1 0 2,520 0.0% 185 0 0 5 0 1 1,512 0.0% 186 0 0 4 2 0 9,450 0.1% 187 0 0 4 1 1 12,600 0.2% 188 0 0 4 0 2 3,150 0.0% 189 0 0 3 3 0 14,400 0.2% 190 0 0 3 2 1 32,400 0.4% 191 0 0 3 1 2 18,000 0.2% 192 0 0 3 0 3 2,400 0.0% 193 0 0 2 4 0 9,450 0.1% 194 0 0 2 3 1 32,400 0.4% 195 0 0 2 2 2 30,375 0.4% 196 0 0 2 1 3 9,000 0.1% 197 0 0 2 0 4 675 0.0% 198 0 0 1 5 0 2,520 0.0% 199 0 0 1 4 1 12,600 0.2% 200 0 0 1 3 2 18,000 0.2% 201 0 0 1 2 3 9,000 0.1% 202 0 0 1 1 4 1,500 0.0% 203 0 0 1 0 5 60 0.0% 204 0 0 0 6 0 210 0.0% 205 0 0 0 5 1 1,512 0.0% 206 0 0 0 4 2 3,150 0.0% 207 0 0 0 3 3 2,400 0.0% 208 0 0 0 2 4 675 0.0% 209 0 0 0 1 5 60 0.0% 210 0 0 0 0 6 1 0.0% 8,145,060 100.0

As shown in Table I6-2a, there are 210 different bucket combinations. The bucket with the fewest count is #210, where all 6 balls are in the range of 40-45. The largest concentration of combinations are those where 1 ball falls in a different bucket.

The table on the next page illustrates this same information, but is sorted from the highest concentration of balls to the smallest.

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