ᐱᖓᓱᓄᑦ ᐱᙳᐊᕈᑎ ᕉᓚᑦᒥ
ᐱᖓᓱᓄᑦ ᐱᙳᐊᕈᑎ ᕉᓚᑦᒥ ᐊᑕᐅᓯᕐᒥᒃ ᓯᑉᒥᒃ ᓈᓴᐅᑎᓄᑦ ᐱᖓᓱᓄᑦ ᑐᓪᓕᑎᒌᒃᑐᓄᑦ ᐱᙳᐊᕈᑎᐅᔪᖅ.

ᓈᓴᐅᑏᑦ ᐱᖓᓱᑦ, ᐊᑭᓕᐅᑎ 11:1. ᐱᔪᓐᓇᕐᓂᖅᓈᓴᐃᓂᖅᐱᔪᓐᓇᕐᓂᖅᐱᓐᓂᐅᑉ ᐱᔪᓐᓇᕐᓂᖓ, 0-ᒥᑦ 1-ᒧᑦ ᐅᕝᕙᓘᓐᓃᑦ 0%-ᒥᑦ 100%-ᒧᑦ. ᓈᓴᐅᑎ ᐊᑕᐅᓯᖅ: 1/37 = 2.70%.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → 8.11%.
ᐱᖓᓱᓄᑦ ᐱᙳᐊᕈᑎ ᕉᓚᑦᒥ ᓇᐅᑦᑎᒧᑦ ᐃᓕᔭᐅᕙ
ᓯᑉᑮᓇᐅᔭᖅᓯᑉᓇᓗᓇᐃᒃᑯᑎ ᐊᑭᖃᐃᓐᓇᖅᑐᖅ, ᐱᙳᐊᕈᑎᓕᕆᕝᕕᖕᒥ ᐃᓕᔭᐅᔪᖅ ᐱᙳᐊᕈᑎᓕᐅᕐᓂᕐᒧᑦ. ᐊᓯᐊᓂ ᐊᑎᖓ: ᓯᐊᒃ (check).ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᑐᓪᓕᑎᒌᒃᑐᑦ ᓯᓚᑖᓂ ᓯᓈᓂ ᐃᓕᔭᐅᔪᖅ, ᑕᓴᓐᑦᐱᙳᐊᕈᑎᑕᓴᓐ1–12, 13–24 ᐅᕝᕙᓘᓐᓃᑦ 25–36, ᐊᑭᓕᐅᑎ 2:1.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐃᓂᖏᓐᓄᑦ ᖃᓂᓪᓕᓛᒥ ᑐᑭᓕᐊᕐᒥ (ᐅᕝᕙᓘᓐᓃᑦ ᕖᓇᓯ ᐱᙳᐊᕈᑎᓕᕆᕝᕕᖓᓂᐊᑐᖅᑕᐅᔪᑦᐱᙳᐊᕈᑎᓕᕆᕝᕕᒃᐱᙳᐊᕐᕕᒻᒥ ᑎᑎᕋᖅᓯᒪᔪᑦ ᐱᙳᐊᕈᑏᑦ ᐊᓪᓚᖏᑦ. ᐊᓯᐊᓂ ᐊᑎᖏᑦ: ᐱᙳᐊᕐᕕᒃ, ᐅᓗᐱᓕᒐᖅ, ᐊᓐᓄᕌᒃᓴᖅ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᒪᕐᕉᓐᓂᒃ ᓯᓈᓕᒻᒥ, ᓯᓚᑖᓂ ᓯᓈᖏᓐᓂ ᓇᓪᓕᐊᓃᓘᓐᓃᑦ). ᖁᓕᑦ ᒪᕐᕉᓪᓗ ᐊᑐᕐᓗᐊᖑᔪᑦ ᐱᖓᓱᓄᑦ ᐱᙳᐊᕈᑏᑦᐱᙳᐊᕈᑎᐱᖓᓱᓄᑦ ᐱᙳᐊᕈᑎᐱᖓᓱᑦ ᓈᓴᐅᑏᑦ ᐱᙳᐊᕈᑎᓕᕆᕝᕕᐅᑉ ᑐᑭᓕᐊᖓᓂ ᐊᑕᐅᓯᕐᒥ, ᐊᑭᓕᐅᑎ 11:1. ᕖᓇᓯᑐᑦ: ᑐᕋᓐᔅᕙᕐᓴᓪ (transversale).ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐱᑕᖃᖅᑐᑦ, 1-2-3-ᒥᑦ 34-35-36-ᒧᑦ, ᐊᒻᒪ ᒪᕐᕉᒃ ᓯᕉᒥᒃᐊᒃᓴᓗᐊᖅᓯᕉᐊᑕᐅᓯᖅ ᐅᔾᔪᐊᕌᔭᒃ ᐃᓂ ᐊᔾᔨᒌᒃᑐᒥᒃ ᐊᑭᓕᐅᑎᓕᖕᓄᑦ, ᑕᓴᓐᓄᑦ ᓇᑉᐸᖅᑐᓄᓪᓘᓐᓃᑦ ᐱᙳᐊᕈᑏᑦ ᐃᓚᐅᑎᙱᑕᖓ; ᑳᓯᓅᑉ ᐃᓚᖓᑕ ᐱᓇᓪᓗᑎᖓ. ᐊᓯᐊᓂ ᐊᑎᖏᑦ: ᐊᑕᐅᓯᖅ ᓯᕉ, 0.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐃᓚᓕᒃ: 0-1-2 0-2-3-ᓗ, ᓯᕉ ᓯᕗᓪᓕᖅᐹᒥ ᑐᓪᓕᑎᒌᒃᑐᓂ ᑲᑎᖃᑦᑕᕐᕕᖓᓐᓂ ᓯᑕᒪᓄᑦᐱᙳᐊᕈᑎᓯᑕᒪᓄᑦ ᐱᙳᐊᕈᑎᓯᑕᒪᑦ ᓈᓴᐅᑏᑦ ᐱᙳᐊᕈᑎᓕᕆᕝᕕᖕᒥ ᑲᑎᖕᓂᖃᑎᒌᒃᑐᑦ, ᐊᑭᓕᐅᑎ 8:1.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐃᓂᖓᓂ ᐃᓕᔭᐅᔪᑦ. ᓯᑉ ᑐᑭᓕᐊᕐᒥ ᑭᒡᓕᐅᔪᒥ ᐃᓂᖃᖁᔨᔭᐅᔪᖅ; ᑐᓪᓕᑎᒌᒃᑐᑦ ᐃᓗᐊᓂ ᐃᓂᖃᖅᐸᑦ ᐊᑕᐅᓯᕐᒧᑦ ᐱᙳᐊᕈᑎᒋᔭᐅᓂᐊᖅᑐᖅᐱᙳᐊᕈᑎᐊᑕᐅᓯᕐᒧᑦ ᐱᙳᐊᕈᑎᓈᓴᐅᑎ ᐊᑕᐅᓯᖅ, ᐊᑭᓕᐅᑎ 35:1.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᓯᓈᓃᑦᑐᒧᑦ ᓈᓴᐅᑎᒧᑦ.
ᐱᖓᓱᓄᑦ ᐱᙳᐊᕈᑎ ᕉᓚᑦᒥ: ᐊᑭᓕᐅᑎ ᓂᕆᐅᒋᔭᐅᔪᕐᓗ
ᓈᓴᐅᑏᑦ ᐱᖓᓱᑦ ᓈᒻᒪᒃᑐᑦ ᐱᔪᓐᓇᕐᓂᖏᑦ 11.33, 1-ᒧᑦ; ᐱᙳᐊᕐᕕᒃ 11-ᒥᒃ ᐊᑭᓕᐅᑎᖃᖅᑐᖅ. $10 ᐱᖓᓱᓄᑦ ᐱᙳᐊᕈᑎ ᐊᔪᒐᖅᐸᑦ $110 ᐊᔪᒐᕐᓂᕐᒥᒃ ᐅᑎᖅᑎᑦᓯᔪᖅ. 37 ᑲᐃᕙᕐᓃᑦ ᐊᔾᔨᒌᒃᑎᓪᓗᒋᑦ: ᐱᖓᓱᕆᐊᖅᓗᒍ ᐊᔪᒐᕐᓂᖅ (+$330), 34-ᕆᐊᖅᓗᒍ ᐊᓯᐅᔾᔨᓂᖅ (−$340), ᓱᓕᓪᓚᕆᒃᑐᖅ −$10 $370-ᓂᑦ.
ᐱᐅᓯᖓ
ᐊᑕᐅᓯᕐᒧᑦ ᐱᙳᐊᕈᑎ ᐱᖓᓱᕆᐊᖅᓗᒍ ᐊᔪᒐᖅᑕᖃᑦᑕᓂᖅᓴᐅᔪᖅ ᐊᑭᓕᐅᑎᖓᓗ ᐱᖓᓱᖓᓂ ᐊᕕᒃᓯᒪᔪᖅ. ᐱᖓᓱᓄᑦ ᐱᙳᐊᕈᑏᑦ ᐱᙳᐊᖅᑏᑦ ᓇᒡᓕᒋᔭᖏᑦ “ᑐᓪᓕᑎᒌᒃᑐᓂᒃ ᐃᓗᓕᖃᖅᑎᑦᓯᒍᒪᔪᑦ” ᓈᓴᐅᑎᒥᑦ ᐱᐅᔪᒥᒃ ᐃᓱᒪᒋᔭᒥᓂᒃ ᖃᓂᒋᔭᖓᓂ, 36 ᑲᐃᕙᕐᓃᑦ ᐊᔪᒐᙱᑦᑐᑦ ᐊᑐᖅᑕᐅᑦᓴᙱᓪᓗᒋᑦ. ᐊᔾᔨᒌᒃᑎᓪᓗᒋᑦ ᐊᔪᒐᕐᓂᖅ 12 ᑲᐃᕙᕐᓃᑦ ᖃᓂᒋᔮᓂ ᓂᕆᐅᒋᓗᒍ, ᐊᒻᒪ 25 ᐅᕝᕙᓘᓐᓃᑦ ᐅᖓᑖᓄᑦ ᑲᐃᕙᕐᓃᑦ ᐊᔪᒐᙱᑦᑐᑦ ᐊᑕᐅᓯᐊᖅᑐᖅ ᖃᓂᒋᔮᓂ ᐊᑕᐅᓯᕐᒥ ᐱᙳᐊᖅᑕᐅᓂᖓᓂ.
ᐱᖓᓱᓄᑦ ᐱᙳᐊᕈᑏᑦ ᑕᓴᓐᑦ ᐊᒻᒪ
ᓯᑕᒪᑦ ᐱᖓᓱᓄᑦ ᐱᙳᐊᕈᑏᑦ ᑕᓴᓐᒥᒃ ᓴᓇᔪᑦ. ᓯᑕᒪᑦ $10 ᐱᖓᓱᓄᑦ ᐱᙳᐊᕈᑏᑦ 1-2-3, 4-5-6, 7-8-9 10-11-12-ᓗ $40 ᐊᑭᖃᖅᑐᑦ, ᓯᕗᓪᓕᖅᐹᖅ ᑕᓴᓐ ᐊᔪᒐᖅᐸᑦ $110 − $30 = $80 ᐊᔪᒐᕐᓂᐅᔪᖅ, ᐊᔪᒐᙱᑉᐸᑦ $40 ᐊᓯᐅᔾᔨᓂᐅᔪᖅ. $40 ᑕᓴᓐ ᐱᙳᐊᕈᑎ $80-ᒥᒃ ᐊᔪᒐᖅᑐᖅ $40-ᒥᒡᓗ ᐊᓯᐅᔾᔨᔪᖅ ᐊᔾᔨᒌᒃᑐᓂ ᐱᓯᒪᓂᐅᔪᓂ. ᐱᙳᐊᕈᑎᐅᓪᓗᐊᕐᓂᒃ ᐊᔾᔨᒌᒃᑐᑦ ᒪᕐᕉᓂᒃ ᐊᔾᔨᖃᖅᑐᑦ; ᑕᓴᓐ ᐊᑕᐅᓯᕐᒥᒃ ᓯᑉᒥᒃ ᐊᑐᖅᑐᖅ.
ᐅᖃᐅᓰᑦ
ᕖᓇᓯᑐᑦ ᑐᕋᓐᔅᕙᕐᓴᓪFR · ᐱᖓᓱᓄᑦᑐᕋᓐᔅᕙᕐᓴᓪᕖᓇᓯᑐᑦ ᐱᖓᓱᓄᑦ ᐱᙳᐊᕈᑎ (ᑐᕋᓐᔅᕙᕐᓴᓪ ᐳᓚᐃᓐ, 3 ᓈᓴᐅᑏᑦ) ᐱᖓᓲᔪᖅᑐᓄᓪᓗ ᐱᙳᐊᕈᑎ (ᑐᕋᓐᔅᕙᕐᓴᓪ ᓴᓐᐳᓪ, 6 ᓈᓴᐅᑏᑦ).ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐳᓚᐃᓐ (Transversale pleine, “ᐃᓘᓐᓇᖓ ᐊᕐᓗᓯᒪᔪᖅ”), ᐃᖏᓕᓐᓄᑦ ᓄᓇᖓᓂ ᐱᙳᐊᖅᑎᑦᓯᔩᑦ “ᑐᓪᓕᑎᒌᒃᑐᑦ” ᐅᕝᕙᓘᓐᓃᑦ “ᐱᖓᓱᓂᒃ ᑐᑭᓕᐊᓕᒃ”, ᐊᒥᐊᓕᑲᒥ ᐃᓂᑦᑎᐊᕐᓂᒃᑯᓪᓗ “ᐃᑉᐱᐊᕐᓂᖅ” (street). ᐱᖓᓲᔪᖅᑐᓄᑦ ᐱᙳᐊᕈᑎ ᑐᕋᓐᔅᕙᕐᓴᓪ ᓯᒻᐳᓪ, ᑐᑭᓯᓇᙱᑦᑐᒃᑯᑦ ᓈᓴᐅᑎᓂᒃ ᐊᒥᓲᓂᖅᓴᓂᒃ ᐃᓗᓕᖃᖅᑐᖅ.
ᐊᐱᖅᑯᑏᑦ
ᐄ, 11, 1-ᒧᑦ. 0-1-2 0-2-3-ᓗ ᓈᓴᐅᑏᑦ ᐱᖓᓱᑦ, ᐊᓯᖏᑎᑐᑦ ᐱᖓᓱᓄᑦ ᐱᙳᐊᕈᑏᑦ.
ᑐᓪᓕᑎᒌᒃᑐᑦ ᓯᓚᑖᓂ ᓯᓈᖓ ᐊᒃᑐᓗᒍ; ᐱᙳᐊᕈᑎᓕᕆᕝᕕᒃ ᓈᓴᐅᑏᑦ ᐱᖓᓱᑦ ᖃᐅᒪᑎᓪᓗᒋᑦ ᓇᓗᓇᐃᖅᓯᔪᖅ ᐊᖏᖅᑎᓐᓇᓂ.
ᐃᓪᓗᕐᓇᖅᑐᖅ ᐊᔾᔨᓕᐊᖅ

ᓈᓴᐅᑏᑦ ᐱᖓᓱᑦ, 11, 1-ᒧᑦ.
ᐱᕝᕕᒋᔭᐅᔪᑦ
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.