ᕉᓚᑦᒥ ᐱᙳᐊᕈᑏᑦ · ᐃᓗᐊᓂ ᐱᙳᐊᕈᑎ · ᐊᒥᐊᓕᑲ · 6 ᒥᓂᑦ

ᑕᓪᓕᒪᓄᑦ ᐱᙳᐊᕈᑎ ᕉᓚᑦᒥ

ᑕᓪᓕᒪᓄᑦ ᐱᙳᐊᕈᑎ ᐊᑕᐅᓯᕐᒥᒃ ᓯᑉᒥᒃ 0, 00, 1, 2 3-ᓗ ᐃᓗᓕᖃᖅᑐᖅ, ᐊᒥᐊᓕᑲ ᒪᕐᕉᒃ ᓯᕉ ᐱᙳᐊᕈᑎᓕᕆᕝᕕᖓᓂ ᑭᓯᐊᓂ ᐱᑕᖃᖅᑐᖅ.

ᓇᐃᑦᑐᖅ ᑭᐅᔾᔪᑎ

ᓈᓴᐅᑏᑦ ᑕᓪᓕᒪᑦ 38-ᓂᑦ, ᐊᑭᓕᐅᑎ 6:1. ᐱᔪᓐᓇᕐᓂᖅᓈᓴᐃᓂᖅᐱᔪᓐᓇᕐᓂᖅᐱᓐᓂᐅᑉ ᐱᔪᓐᓇᕐᓂᖓ, 0-ᒥᑦ 1-ᒧᑦ ᐅᕝᕙᓘᓐᓃᑦ 0%-ᒥᑦ 100%-ᒧᑦ. ᓈᓴᐅᑎ ᐊᑕᐅᓯᖅ: 1/37 = 2.70%.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → 13.16%, ᑳᓯᓅᑉ ᐃᓚᖓᓈᓴᐃᓂᖅᑳᓯᓅᑉ ᐃᓚᖓᐱᙳᐊᕈᑎ ᐊᑐᓂ ᑳᓯᓅᑉ ᐊᔾᔨᒌᒃᑎᓪᓗᒋᑦ ᐱᓯᒪᓂᖅᓴᖅᑕᖓ: ᐃᐅᕌᐸ ᕉᓚᑦᒥ 2.70%.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → 7.89%: ᐱᙳᐊᕈᑎ ᐱᐅᙱᓛᖅ ᐊᑐᕐᓗᐊᖑᔪᒥ ᕉᓚᑦ ᐱᙳᐊᕐᕕᖓᓂ. ᐊᒻᒪᓗ ᐅᖃᐅᓯᖃᕐᕕᒋᔭᐅᕙᒃᑐᖅ “ᖁᓛᓃᑦᑐᖅ ᑐᑭᓕᐊᖅ”, “ᓯᕗᓪᓕᖅᐹᑦ ᑕᓪᓕᒪᑦ” ᐅᕝᕙᓘᓐᓃᑦ “ᐹᔅᑭᑦ”.

ᐃᓗᓕᖏᑦ
5 / 38
ᐱᔪᓐᓇᕐᓂᖅ
13.16%
ᐊᑭᓕᐅᑎ
6:1
ᑳᓯᓅᑉ ᐃᓚᖓ
7.89%

ᑕᓪᓕᒪᓄᑦ ᐱᙳᐊᕈᑎ ᓇᐅᑦᑎᒧᑦ ᐃᓕᔭᐅᕙ

ᐊᑕᐅᓯᖅ ᓯᑉᑮᓇᐅᔭᖅᓯᑉᓇᓗᓇᐃᒃᑯᑎ ᐊᑭᖃᐃᓐᓇᖅᑐᖅ, ᐱᙳᐊᕈᑎᓕᕆᕝᕕᖕᒥ ᐃᓕᔭᐅᔪᖅ ᐱᙳᐊᕈᑎᓕᐅᕐᓂᕐᒧᑦ. ᐊᓯᐊᓂ ᐊᑎᖓ: ᓯᐊᒃ (check).ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᑐᑭᓕᐊᑉ ᓯᓚᑖᓂ ᐃᓱᐊᓂ ᐃᓕᔭᐅᔪᖅ, ᒪᕐᕉᒃ ᓯᕉᐊᒃᓴᓗᐊᖅᓯᕉᐊᑕᐅᓯᖅ ᐅᔾᔪᐊᕌᔭᒃ ᐃᓂ ᐊᔾᔨᒌᒃᑐᒥᒃ ᐊᑭᓕᐅᑎᓕᖕᓄᑦ, ᑕᓴᓐᓄᑦ ᓇᑉᐸᖅᑐᓄᓪᓘᓐᓃᑦ ᐱᙳᐊᕈᑏᑦ ᐃᓚᐅᑎᙱᑕᖓ; ᑳᓯᓅᑉ ᐃᓚᖓᑕ ᐱᓇᓪᓗᑎᖓ. ᐊᓯᐊᓂ ᐊᑎᖏᑦ: ᐊᑕᐅᓯᖅ ᓯᕉ, 0.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᓯᕗᓪᓕᖅᐹᒧᑦ ᐱᖓᓱᓄᑦ ᐱᙳᐊᕈᑎᒧᑦᐱᙳᐊᕈᑎᐱᖓᓱᓄᑦ ᐱᙳᐊᕈᑎᐱᖓᓱᑦ ᓈᓴᐅᑏᑦ ᐱᙳᐊᕈᑎᓕᕆᕝᕕᐅᑉ ᑐᑭᓕᐊᖓᓂ ᐊᑕᐅᓯᕐᒥ, ᐊᑭᓕᐅᑎ 11:1. ᕖᓇᓯᑐᑦ: ᑐᕋᓐᔅᕙᕐᓴᓪ (transversale).ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → 1-2-3-ᒧᑦ ᑲᑎᖃᑦᑕᕐᕕᖓᓐᓂ. ᓄᐊᔾᔨᕐᓯ ᒪᓕᒐᖏᑦ 0-ᑉ, 1-ᑉ “1st 12” ᐃᓂᐅᑉᓗ ᐊᑐᖅᑎᒌᒃᑕᖓᓐᓂ ᓯᑕᒪᓄᑦᐱᙳᐊᕈᑎᓯᑕᒪᓄᑦ ᐱᙳᐊᕈᑎᓯᑕᒪᑦ ᓈᓴᐅᑏᑦ ᐱᙳᐊᕈᑎᓕᕆᕝᕕᖕᒥ ᑲᑎᖕᓂᖃᑎᒌᒃᑐᑦ, ᐊᑭᓕᐅᑎ 8:1.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐃᓂᖓᓂ ᐃᓕᖁᔨᔪᑦ; ᐃᓚᖏᑦ ᐱᙳᐊᕈᑎᓕᕆᕝᕕᐃᑦᐊᑐᖅᑕᐅᔪᑦᐱᙳᐊᕈᑎᓕᕆᕝᕕᒃᐱᙳᐊᕐᕕᒻᒥ ᑎᑎᕋᖅᓯᒪᔪᑦ ᐱᙳᐊᕈᑏᑦ ᐊᓪᓚᖏᑦ. ᐊᓯᐊᓂ ᐊᑎᖏᑦ: ᐱᙳᐊᕐᕕᒃ, ᐅᓗᐱᓕᒐᖅ, ᐊᓐᓄᕌᒃᓴᖅ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → “ᓯᕗᓪᓕᖅᐹᑦ ᑕᓪᓕᒪᑦ” ᐃᓂᖓᓂᒃ ᓇᕿᑦᑕᐅᓯᒪᔪᑦ. ᐱᙳᐊᕈᑎᐅᔪᖅ ᐊᑕᐅᓯᖅ ᓯᕉᒃ ᒪᕐᕉᒃ ᓯᕗᓪᓕᖅᐹᓪᓗ ᐱᖓᓱᓄᑦ ᐱᙳᐊᕈᑎ ᐊᑕᐅᑦᑎᒃᑯᑦ ᐃᓗᓕᖃᖅᑐᖅ, ᐊᒻᒪᓗ ᑕᓪᓕᒪᓄᑦ ᐱᙳᐊᕈᑎ ᐊᑕᐅᓯᖅ ᐊᑐᕐᓗᐊᖑᔪᒥ ᐱᙳᐊᕈᑎᓕᕆᕝᕕᖕᒥ.

ᑕᓪᓕᒪᓄᑦ ᐱᙳᐊᕈᑎ: ᐊᑭᓕᐅᑎ ᑳᓯᓅᑉ ᐃᓚᖓᓗ

ᐊᒥᐊᓕᑲ ᐱᙳᐊᕐᕕᖓᓂ ᐊᓯᖏᑦ ᐱᙳᐊᕈᑏᑦ ᐃᓘᓐᓇᖏᑦ ᐊᔾᔨᒌᒃᑐᒃᑯᑦ ᐊᑭᓕᐅᑎᖃᖅᑐᑦ: 36 ᐃᓗᓕᖏᑦ ᓈᓴᐅᑏᑦ ᐊᕕᒃᓗᒋᑦ, 1 ᐲᖅᓗᒍ. ᓈᓴᐅᑎᓄᑦ ᑕᓪᓕᒪᓄᑦ ᑕᐃᒪ 6.2, 1-ᒧᑦ, ᐱᙳᐊᕐᕕᒡᓗ 6-ᒧᑦ ᒥᑭᓪᓕᑎᑦᓯᔪᖅ. ᑕᓪᓕᒪᑦ ᐃᓂᑦᐊᑐᖅᑕᐅᔪᑦᐃᓂᑲᐃᕙᖅᑐᒥ 37 ᓈᓴᐅᑎᓕᑦ ᐃᓂᑦ ᐊᑕᐅᓯᖓ. ᐊᓯᐊᓂ ᐊᑎᖏᑦ: ᐃᓂᒋᐊᖅ, ᖃᓪᓗᐊᖅ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → 38-ᓂᑦ 6 ᐊᑦᔨᐅᑏᑦᑮᓇᐅᔭᖅᐊᑦᔨᐅᑎᐸᕐᓇᐅᑎᐅᑉ ᐅᕝᕙᓘᓐᓃᑦ ᐱᙳᐊᖅᑎᐅᑉ ᑐᙵᕕᒋᔭᖓ ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓ. ᐊᓯᑦᑐᖅᐸᓪᓕᐊᓂᐅᔪᑦ ᐊᑦᔨᐅᑎᓄᑦ ᓇᓗᓇᐃᖅᑕᐅᕙᒃᑐᑦ, ᑕᐃᒪ ᓇᓕᐊᓂᑐᐃᓐᓇᖅ ᐱᙳᐊᕐᕕᒻᒥ ᐊᑐᕈᓐᓇᖁᓪᓗᒋᑦ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐊᔪᒐᖅᑐᑦ 33-ᓗ 1-ᒥᒃ ᐊᓯᐅᔾᔨᔪᑦ: (5 × 6 − 33)/38 = −3/38, ᐊᓯᐅᔾᔨᓂᖅ 7.89% ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓᓂᑦ ᑕᒪᐃᓐᓂᑦ. $10 ᓯᑉ ᑕᐃᑲᓂ 100 ᑲᐃᕙᕐᓃᑦ ᐊᔾᔨᒌᒃᑎᓪᓗᒋᑦ $78.95-ᒥᒃ ᐊᓯᐅᔾᔨᔪᖅ, ᐊᓯᖏᓐᓂ ᐱᙳᐊᕈᑏᓐᓂ ᐊᔾᔨᒌᒃᑐᒥ ᐱᙳᐊᕐᕕᒻᒥ $52.63.

ᐱᙳᐊᕈᑎᐃᓗᓕᖏᑦᐊᑭᓕᐅᑎᑳᓯᓅᑉ ᐃᓚᖓ
ᐊᑕᐅᓯᕐᒧᑦ ᐱᙳᐊᕈᑎ135:15.26%
ᒪᕐᕉᓄᑦ ᐱᙳᐊᕈᑎ217:15.26%
ᐱᖓᓱᓄᑦ ᐱᙳᐊᕈᑎ ᐅᕝᕙᓘᓐᓃᑦ ᐱᖓᓱᑦ ᓯᕉᓕᒃ311:15.26%
ᓯᑕᒪᓄᑦ ᐱᙳᐊᕈᑎ48:15.26%
ᑕᓪᓕᒪᓄᑦ ᐱᙳᐊᕈᑎ56:17.89%
ᐱᖓᓲᔪᖅᑐᓄᑦ ᐱᙳᐊᕈᑎ65:15.26%
ᑕᓴᓐ ᐅᕝᕙᓘᓐᓃᑦ ᓇᑉᐸᖅᑐᖅ122:15.26%
ᐊᔾᔨᒌᒃᑐᒥᒃ ᐊᑭᓕᐅᑎᓕᒃ181:15.26%
ᐱᙳᐊᕈᑎ ᑕᒪᐃᓐᓂ n ᓈᓴᐅᑏᓐᓂ 36/n − 1, 1-ᒧᑦ ᐊᑭᓕᐅᑎᖃᖅᑐᖅ, ᑕᓪᓕᒪᓄᑦ ᐱᙳᐊᕈᑎ ᐱᓗᒍ, ᒪᓕᒐᖅ ᑕᐃᑲᓂ 6.2-ᒥᒃ ᑐᓂᓯᔪᖅ.

ᓈᓴᐅᑏᑦ ᑕᓪᓕᒪᑦ ᐊᔾᔨᒌᒃᑐᑦ ᐊᑭᑦᑐᕐᓂᖏᓂᖅᓴᒥ

ᑕᓪᓕᒪᑦ ᐊᑕᐅᓯᕐᒥᒃ ᐊᑦᔨᐅᑎᓕᒃ ᐊᑕᐅᓯᕐᒧᑦ ᐱᙳᐊᕈᑏᑦᐱᙳᐊᕈᑎᐊᑕᐅᓯᕐᒧᑦ ᐱᙳᐊᕈᑎᓈᓴᐅᑎ ᐊᑕᐅᓯᖅ, ᐊᑭᓕᐅᑎ 35:1.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → 0, 00, 1, 2 3-ᒧᓪᓗ ᐃᓂᓐᓂᒃ ᐊᔾᔨᒌᓪᓚᕆᒃᑐᓂᒃ ᐃᓗᓕᖃᖅᑐᑦ. ᐊᔪᒐᖅᐸᑦ ᐊᑕᐅᓯᖅ ᓯᑉ 35-ᒥᒃ ᐊᑭᓕᖅᑕᐅᔪᖅ ᐊᓯᖏᓪᓗ ᓯᑕᒪᑦ ᐊᓯᐅᔾᔨᔪᑦ: +31 5 ᐊᑦᔨᐅᑏᓐᓂᑦ, 6.2, 1-ᒧᑦ, ᒪᓕᒐᐅᑉ ᐊᑭᖓ. ᐱᙳᐊᕐᕕᐅᑉ ᐊᑐᕐᓗᐊᖑᔪᖅ 5.26% ᐊᑭᖃᖅᑐᑦ. ᒪᕐᕉᓄᑦ ᐱᙳᐊᕈᑎᐱᙳᐊᕈᑎᒪᕐᕉᓄᑦ ᐱᙳᐊᕈᑎᒪᕐᕉᒃ ᓈᓴᐅᑏᒃ ᓴᓂᓕᐅᑎᒌᒃᑐᒃ, ᐊᑭᓕᐅᑎ 17:1.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → 0-00-ᒧᑦ ᐱᖓᓱᓄᓪᓗ ᐱᙳᐊᕈᑎ 1-2-3-ᒧᑦ ᐊᒻᒪᓗ ᓈᓴᐅᑎᓂᒃ ᑕᓪᓕᒪᓂᒃ 5.26%-ᒥ ᐃᓗᓕᖃᖅᑐᑦ, ᐊᑭᓕᐅᑎᖏᑦ ᓈᓴᐅᑎ ᓴᖅᑭᑦᑐᖅ ᒪᓕᒡᓗᒍ ᐊᔾᔨᒌᙱᑦᑐᑦ. ᓯᑉ ᐊᑕᐅᓯᖅ ᓯᑕᒪᓂᒃ ᐃᓕᔨᑦᓴᙱᓐᓂᕐᒥᒃ ᑭᓯᐊᓂ ᐱᐅᓂᖃᖅᑐᖅ, ᐊᑭᖓᓗ ᐊᑕᐅᓯᕐᒧᑦ ᐱᙳᐊᕈᑏᓐᓂᑦ ᓇᑉᐸᖓᓂ ᐊᖏᓂᖅᓴᐅᔪᖅ.

ᐊᒃᓴᓗᐊᕐᒥ

ᐊᒥᐊᓕᑲ ᐊᒃᓴᓗᐊᖓᓂ ᐃᓂᑦ ᑕᓪᓕᒪᑦ ᐱᖓᓱᓂ ᐃᓂᖏᓐᓂ ᐃᓂᖃᖅᑐᑦ: 0 2-ᒥᒃ ᓴᓂᖃᖅᓗᓂ, 00 1-ᒥᒃ ᓴᓂᖃᖅᓗᓂ ᐊᒃᓴᓗᐊᑉ ᐊᑭᐊᓂ ᓯᓈᖓᓂ, 3-ᓗ ᑭᒻᒥᓂᖅ 15-ᑉ 24-ᓪᓗ ᐊᑯᓐᓂᖓᓂ. ᐊᓯᖏᑎᑐᑦ ᐱᙳᐊᕈᑎᓕᕆᕝᕕᖕᒥ ᐱᙳᐊᕈᑏᑦ, ᐊᒃᓴᓗᐊᑉ ᐃᓚᖓᐅᙱᑦᑐᖅᐊᒃᓴᓗᐊᖅᐊᒃᓴᓗᐊᑉ ᐃᓚᖓᐊᒃᓴᓗᐊᕐᒥ ᐃᓂᑦ ᓴᓂᓕᐅᑎᒌᒃᑐᑦ ᑲᑎᑦᑐᑦ, ᐱᙳᐊᕈᑎᓕᕆᕝᕕᖕᒥ ᑲᑎᑦᑐᓂᑦ ᐊᔾᔨᒋᙱᑦᑐᑦ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ →.

ᐊᑕᐅᓯᖅ ᓯᕉ ᐱᙳᐊᕐᕕᒻᒥ

ᐃᐅᕌᐸ ᕖᓇᓯᓗ ᐱᙳᐊᕐᕕᖏᑦ ᑕᓪᓕᒪᓄᑦ ᐱᙳᐊᕈᑎᖃᙱᑦᑐᑦ. ᐊᑕᐅᓯᕐᒥᒃ ᓯᕉᓕᒻᒥ, 0-ᑉ 1-ᒧᑦ, 2-ᒧᑦ 3-ᒧᓪᓗ ᑲᑎᖃᑦᑕᕐᕕᖓ ᐹᔅᑭᑦᐱᙳᐊᕈᑎᐹᔅᑭᑦᐊᑕᐅᓯᕐᒥᒃ ᓯᕉᓕᒻᒥ ᐊᒃᓴᓗᐊᕐᒥ: 0, 1, 2, 3 ᐊᑕᐅᓯᕐᒥᒃ ᓯᑉᒥᒃ, ᐊᑭᓕᐅᑎ 8:1. ᐊᓯᐊᓂ ᐊᑎᖏᑦ: ᓯᕗᓪᓕᖅᐹᑦ ᓯᑕᒪᑦ, ᑲᑐᕐ ᐳᕋᒥᐊ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ →: ᓈᓴᐅᑏᑦ ᓯᑕᒪᑦ, 8, 1-ᒧᑦ, ᐊᑐᕐᓗᐊᖑᔪᖅ 2.70%.

ᐊᐱᖅᑯᑏᑦ

ᓱᒻᒪᑦ “ᖁᓛᓃᑦᑐᖅ ᑐᑭᓕᐊᖅ”-ᒥᒃ ᑕᐃᔭᐅᕙ?

ᐱᙳᐊᕈᑎᓕᕆᕝᕕᐅᑉ ᖁᓛᓃᑦᑐᖅ ᑐᑭᓕᐊᖓ, ᓯᕉᒃ ᓯᕗᓪᓕᖅᐹᒧᑦ ᐱᖓᓱᓄᑦ ᐱᙳᐊᕈᑎᒧᑦ ᑲᑎᖃᑦᑕᕐᕕᖓ. ᒪᓕᒐᓕᐊᑦ ᐱᙳᐊᖅᑎᑦᓯᔩᓪᓗ ᐊᔾᔨᒌᒃᑐᖅ ᐃᓂ “ᓯᕗᓪᓕᖅᐹᑦ ᑕᓪᓕᒪᑦ” ᐅᕝᕙᓘᓐᓃᑦ “ᐹᔅᑭᑦ”-ᒥᒃ ᑕᐃᒪᑦᑕᐃᓐᓇᖅᐸᒃᑕᖏᑦ.

ᑕᓪᓕᒪᓄᑦ ᐱᙳᐊᕈᑎ ᐱᐅᔪᖅ ᐱᙳᐊᕈᑎᐅᓂᑰᔪᖃᖅᐸ?

ᐋᒃᑲ. 7.89%-ᒥ ᐊᑭᖓ ᐊᓯᖏᓐᓂᑦ ᐊᒥᐊᓕᑲ ᐱᙳᐊᕈᑏᓐᓂᑦ ᓇᑉᐸᖓᓂ ᐊᖏᓂᖅᓴᐅᔪᖅ; ᑕᓪᓕᒪᑦ ᐊᑕᐅᓯᕐᒧᑦ ᐱᙳᐊᕈᑏᑦ ᐊᔾᔨᒌᒃᑐᓄᑦ ᓈᓴᐅᑎᓄᑦ 5.26% ᐊᑭᖃᖅᑐᑦ.

ᐃᐅᕌᐸ ᐱᙳᐊᕐᕕᖓᓂ ᐊᑐᕈᓐᓇᖅᐱᒍ?

ᐋᒃᑲ. ᐊᑕᐅᓯᕐᒥᒃ ᓯᕉᓕᒻᒥ ᐊᔾᔨᒌᒃᑐᖅ ᐃᓂ ᐹᔅᑭᑦ 0-1-2-3, ᓈᓴᐅᑏᑦ ᓯᑕᒪᑦ 8, 1-ᒧᑦ 2.70%-ᓗ.

ᐃᓪᓗᕐᓇᖅᑐᖅ ᐊᔾᔨᓕᐊᖅ

ᒪᓕᒐᖅ 6.2-ᒥᒃ ᑐᓂᓯᑎᓪᓗᒍ 6:1 ᐊᑭᓕᐅᑎᖃᖅᑐᖅ: ᑳᓯᓅᑉ ᐃᓚᖓ 7.89%, ᐱᙳᐊᕈᑎ ᐱᐅᙱᓛᖅ ᐱᙳᐊᕐᕕᒻᒥ.

ᒪᓕᒐᖅ 6.2-ᒥᒃ ᑐᓂᓯᑎᓪᓗᒍ 6:1 ᐊᑭᓕᐅᑎᖃᖅᑐᖅ: ᑳᓯᓅᑉ ᐃᓚᖓ 7.89%, ᐱᙳᐊᕈᑎ ᐱᐅᙱᓛᖅ ᐱᙳᐊᕐᕕᒻᒥ.

ᐱᕝᕕᒋᔭᐅᔪᑦ

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. ᐃᓚᖓ 13, ᕉᓚᑦ.
  2. Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette. CRC Press, 2021. ᐃᓚᖓ 2, ᕉᓚᑦ.
  3. New Jersey Administrative Code § 13:47-20.32. Rules of the game of roulette. “First five numbers”: ᐃᓕᔭᐅᕝᕕᖓ 6, 1-ᒧᓪᓗ ᐊᑭᓕᐅᑎᖓ.
  4. Crown Melbourne. Table Games Roulette Rules, version 19.0. VGCCC ᐊᖏᖅᑕᐅᓯᒪᔪᖅ 10 ᐄᐳᕆᓪ 2026. “Five-Line/First Five”, 6, 1-ᒧᑦ.
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