ᓇᓗᓇᐃᖅᓯᓂᖅ: ᕕᐳᓈᑦᓯ ᖁᕝᕙᕐᓂᖓ
ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖏᑦ 1, 1, 2, 3, 5, 8, 13 ᕿᕐᓂᖅᑐᒧᑦᐱᙳᐊᕈᑎᕿᕐᓂᖅᑐᖅᐊᔾᔨᒌᒃᑐᒥᒃ ᐊᑭᓕᐅᑎᓕᒃ ᐱᙳᐊᕈᑎ 18 ᕿᕐᓂᖅᑐᓄᑦ ᓈᓴᐅᑎᓄᑦ. ᕖᓇᓯᑐᑦ: ᓄᐊᕐ (noir).ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ →, ᐊᔪᒐᕐᓂᖅ ᑐᓪᓕᐊᓂ ᒪᕐᕉᓐᓄᑦ ᐅᑎᖅᓗᓂ. ᐅᐊᕐᔪᖅᑐᖅ ᒫᑎᓐᒐᐃᓪ, ᖃᓄᓪᓗ ᐃᖕᒋᓕᒃᑕᖓ ᑎᑭᑉᐸᖕᒪᖔᑦ.
ᐊᔾᔨᐅᖅᑕᐅᔪᖅ ᕕᐳᓈᑦᓯ ᐱᙳᐊᖅᑕᐅᓂᖓ, 90 ᑲᐃᕙᕐᓃᑦ, $5 ᐊᑦᔨᐅᑎ ᐊᑐᓂ. ᑐᐊᓐᑎ ᐊᑲᐅᓯᐃᑦ ᐃᓱᓕᑦᑎᔪᑦ, ᐊᑐᓂ $5; ᐊᑕᐅᓯᖅ ᐱᐅᙱᑦᑐᖅ ᑐᓪᓕᖅᑐᖅ ᐊᕐᕕᓂᓖᑦ ᐱᖓᓱᖓᓄᑦ ᓈᓴᐅᑎᒧᑦ ($170 ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓ), ᐱᙳᐊᖅᑕᐅᓂᖓ $340 ᐊᓯᐅᔾᔨᑎᑦᓯᓪᓗᒍ. ᒪᕐᕉᕆᐊᖅᓯᓂᕐᒥᑦ ᐊᓕᐊᓇᐃᓂᖅᓴᖅ, ᐊᓕᐊᓇᐃᙱᓕᓵᖅᑎᓐᓇᒍ.
ᑐᓪᓕᕆᐊᖏᑦ ᒪᓕᓪᓗᒋᑦ
ᐊᓯᐅᔾᔨᓂᖅ ᑕᓕᖅᐱᐊᓄᑦ ᐊᑕᐅᓯᕐᒥᒃ ᓯᕗᒧᐊᖅᑎᑦᓯᔪᖅ. ᐊᔪᒐᕐᓂᖅ ᒪᕐᕉᓐᓂᒃ ᐅᑎᖅᑎᑦᓯᔪᖅ.
ᐱᙳᐊᕈᑏᑦ ᑮᓇᐅᔭᖏᑦ ᐃᓱᓕᓐᓂᖏᓪᓗ ᐱᒋᐊᕈᑎ ᐱᙳᐊᕈᑎᐅᑉ ᐊᑦᔨᐅᑎᖏᓐᓂ.
ᐸᕐᓇᐅᑎ
ᓯᕗᓪᓕᖅᐹᖅ ᕕᐳᓈᑦᓯᐸᕐᓇᐅᑎᕕᐳᓈᑦᓯᐊᓯᑦᑐᖅᐸᓪᓕᐊᓂᖅ ᓈᓴᐅᑏᑦ 1, 1, 2, 3, 5, 8, 13… ᑐᓪᓕᐊᓂᖏᓐᓂᒃ ᒪᓕᒃᑐᖅ: ᐊᓯᐅᔾᔨᓂᖅ ᑭᖑᓂᖓᓂ ᐊᑕᐅᓯᕐᒥᒃ ᓯᕗᒧᑦ, ᐊᔪᒐᕐᓂᖅ ᑭᖑᓂᖓᓂ ᒪᕐᕉᓂᒃ ᑐᓄᒧᑦ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᓈᓴᐅᑎ ᐱᙳᐊᕈᑎᒋᓗᒍ, $5. ᐊᓯᐅᔾᔨᓂᖅ ᑐᓪᓕᐊᓂ, ᑐᓪᓕᖅᑐᒥ ᐊᑕᐅᓯᕐᒥᒃ ᑕᓕᖅᐱᒻᒧᑦ ᐃᖏᕐᕋᓗᑎᑦ. ᐊᔪᒐᕐᓂᖅ ᑐᓪᓕᐊᓂ, ᒪᕐᕉᓐᓂᒃ ᓴᐅᒥᒻᒧᑦ ᐃᖏᕐᕋᓗᑎᑦ. ᐊᑲᐅᓯᖅ ᐃᓱᓕᑦᑐᖅ ᐱᒋᐊᕐᕕᒻᒧᑦ ᐅᑎᕈᑦᑕ ᐊᑕᐅᓯᕐᒥᒡᓗ ᐊᑦᔨᐅᑎᒥᒃᑮᓇᐅᔭᖅᐊᑦᔨᐅᑎᐸᕐᓇᐅᑎᐅᑉ ᐅᕝᕙᓘᓐᓃᑦ ᐱᙳᐊᖅᑎᐅᑉ ᑐᙵᕕᒋᔭᖓ ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓ. ᐊᓯᑦᑐᖅᐸᓪᓕᐊᓂᐅᔪᑦ ᐊᑦᔨᐅᑎᓄᑦ ᓇᓗᓇᐃᖅᑕᐅᕙᒃᑐᑦ, ᑕᐃᒪ ᓇᓕᐊᓂᑐᐃᓐᓇᖅ ᐱᙳᐊᕐᕕᒻᒥ ᐊᑐᕈᓐᓇᖁᓪᓗᒋᑦ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᑮᓇᐅᔭᒃᓴᖅᓯᒪᒍᑦᑕ. ᒫᑎᓐᒐᐃᓪᐸᕐᓇᐅᑎᒫᑎᓐᒐᐃᓪᐊᓯᑦᑐᖅᐸᓪᓕᐊᓂᖅ ᐊᓯᐅᔾᔨᓂᖅ ᑕᒪᐃᓐᓂ ᐱᙳᐊᕈᑎ ᒪᕐᕉᕆᐊᖅᑐᖅ. ᐸᕐᓇᐅᑏᑦ ᐃᓚᖓᓂ ᑕᑯᓗᒍ ᖃᓄᐃᓕᐅᕐᓂᖓ ᖃᓄᐃᓕᐅᙱᓐᓂᖓᓗ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐊᔾᔨᒋᓪᓗᒍ ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓ ×1.6-ᒥᒃ ᐊᖏᒡᓕᕗᖅ, ×2-ᐅᙱᑦᑐᖅ, ᑕᐃᒪ ᐃᖕᒋᓕᒃ ᐅᖓᓯᓐᓂᖅᓴᐅᔪᖅ ᐅᑎᕐᓂᖅᓗ ᐅᐊᕐᔪᖕᓂᖅᓴᐅᓪᓗᓂ: ᐊᔪᒐᕐᓂᖅ ᐊᑲᐅᓯᕐᒥᒃ ᐃᓱᓕᑦᑎᙱᑦᑐᖅ, ᐅᑎᖅᑎᑦᓯᔪᐃᓐᓇᖅᑐᖅ.
ᑲᐃᕙᕐᓃᑦ 1–40
ᐃᓚᕙᓐ ᐊᑲᐅᓯᐃᑦ ᐃᓱᓕᑦᑎᔪᑦ, ᐊᑯᓂᓛᖅ ᑕᓪᓕᒪᖓᓄᑦ ᓈᓴᐅᑎᒧᑦ ᑎᑭᑦᑐᖅ ($25). ᐃᓱᓕᑦᑎᔪᖅ ᐊᑲᐅᓯᖅ ᐊᑐᓂ ᑲᑎᑦᓱᒋᑦ $5 ᐱᔪᖅ; ᓈᓴᐃᓂᖅ ᐊᓕᐊᓇᐃᒃᑐᖅ, ᐱᙳᐊᕈᑏᓪᓗ ᑮᓇᐅᔭᖏᑦ ᒥᑭᔪᐃᓐᓇᖅᑐᑦ. ᑲᑎᑦᓱᒋᑦ +$55. ᒫᑎᓐᒐᐃᓪᑎᑐᑦ ᐃᓱᒪᒋᔭᐅᔪᖅ ᑭᓯᐊᓂ ᑲᑉᐱᐊᓱᖕᓂᖅ ᐲᖅᑕᐅᓯᒪᓪᓗᓂ.
ᑲᐃᕙᕐᓃᑦ 41–70
ᐊᓯᖏᑦ ᑕᓪᓕᒪᑦ ᐊᑲᐅᓯᐃᑦ ᐃᓱᓕᑦᑎᔪᑦ 60-ᖓᓄᑦ ᑲᐃᕙᕐᓂᕐᒧᑦ (+$25). ᑕᐃᑲᓂ ᐊᑲᐅᓯᖅ ᐃᓱᓕᑦᑎᙱᑦᑐᖅ. ᐊᓯ ᐊᓯ ᐊᓯ ᐊᓯ ᐊᓯ ᐊᓯ ᐊᓯ ᐊᔪ ᐊᓯ ᐊᓯ: ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖏᑦ 5, 5, 10, 15, 25, 40, 65 (ᐊᕐᕕᓂᓖᑦ ᐊᑕᐅᓯᖅ ᐊᓯᐅᔾᔨᓃᑦ, −$165), $105-ᒥ ᐊᔪᒐᕐᓂᖅ (+$105, ᒪᕐᕉᓐᓄᑦ ᐅᑎᖅᓗᓂ $40-ᒧᑦ), ᑕᐃᑲᓂ ᒪᕐᕉᒃ ᐊᓯᐅᔾᔨᓃᒃ $40-ᒥ $65-ᒥᓗ. ᒫᓐᓇ ᐊᕐᕕᓂᓖᑦ ᒪᕐᕉᖓᓂ ᓈᓴᐅᑎᒥ ᐃᓂᖃᖅᐳᒍᑦ, $105, ᐊᑲᐅᓯᕐᒥ −$165, ᐊᓯᐅᔾᔨᓂᖅ ᑐᓪᓕᐊ $170-ᒧᑦ ᐃᖏᕐᕋᑎᑦᓯᓂᐊᖅᑐᖅ, ᐱᙳᐊᕐᕕᐅᑉ ᑭᒡᓕᖓᐱᙳᐊᕐᕕᒃᐱᙳᐊᕐᕕᐅᑉ ᑭᒡᓕᖓᐱᙳᐊᕈᑎ ᒥᑭᓛᖅ ᐊᖏᓛᕐᓗ ᐊᖏᖅᑕᐅᔪᑦ. ᐊᖏᓛᖅ ᒪᕐᕉᕆᐊᖅᑎᑦᓯᔪᑦ ᐊᓯᑦᑐᖅᐸᓪᓕᐊᓂᐅᔪᑦ ᓄᖅᑲᖅᑎᑦᑕᖏᑦ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → $200. ᑕᒪᑐᒪᓂ ᑲᑎᑦᓱᒋᑦ −$140.
- p10 −$500
- p25 −$500
- ᐊᑯᓐᓂᐊᓃᑦᑐᖅ −$500
- p75 +$390
- p90 +$480
ᑲᐃᕙᕐᓃᑦ 71–90
ᐊᓯ ᐊᓯ: $105, ᑕᐃᒪ $170 ᐊᓯᐅᔾᔨᔪᑦ, ᐊᑲᐅᓯᕐᓗ −$440-ᒥ ᐃᓂᖃᖅᑐᖅ. ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓ ᑐᓪᓕᐊ $275 ᐱᓂᐊᓚᐅᖅᑐᖅ, ᑭᒡᓕᖓᓂᑦ ᐅᖓᑖᓄᑦ, ᑕᐃᒪ 72-ᖓᓂ ᑲᐃᕙᕐᓂᕐᒥ ᐊᑲᐅᓯᖅ ᖃᐃᖁᔨᓪᓗᒍ $5-ᒥ ᐱᒋᐊᖅᑭᑦᑐᒍᑦ. ᑕᒪᓐᓇ ᐃᖕᒋᓕᒃ. ᐃᑏᓐ ᑲᐃᕙᕐᓃᑦ ᐊᓯᖏᑦ ᓯᑕᒪᓂᒃ ᐊᑲᐅᓯᕐᓂᒃ ᐃᓱᓕᑦᑎᔪᑦ. ᐃᓱᓕᓐᓂᖓᓂ −$340; ᐱᙳᐊᕈᑎᒃᓴᐃᑦᑮᓇᐅᔭᖅᐱᙳᐊᕈᑎᒃᓴᐃᑦᑮᓇᐅᔭᑦ ᐃᓘᓐᓇᖏᑦ ᐱᙳᐊᕐᓂᕐᒧᑦ ᐊᕕᒃᓯᒪᔭᐅᔪᑦ. ᐱᙳᐊᕈᑎᒃᓴᓂᒃ ᐊᐅᓚᑦᓯᓂᖅ ᑐᑭᖃᖅᑐᖅ ᖃᔅᓯᑦ ᐱᙳᐊᕈᑎ ᐊᑐᓂ ᐱᙳᐊᖅᑕᐅᓂᖓᓂᓗ ᐊᑐᓂ ᐊᓯᐅᔪᓐᓇᖅᑕᐅᓂᐊᕐᒪᖔᑕ ᐃᓱᒪᓕᐅᕐᓂᕐᒥᒃ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᒥᑭᓛᖓᑦ −$360.
ᑮᓇᐅᔭᑦ ᓈᓴᐅᑎᖏᑦ
ᐱᙳᐊᕈᑏᑦ ᑲᑎᑕᐅᓂᖏᑦ $1,200 ᖃᓂᒋᔮᓂ, ᐊᔾᔨᒌᒃᑐᓂᒃ ᐱᙳᐊᕈᑎᓕᐅᕐᓂᖅ $450. $1,200-ᒥ ᓂᕆᐅᒋᔭᐅᔪᖅ ᐊᓯᐅᔾᔨᓂᖅᓈᓴᐃᓂᖅᓂᕆᐅᒋᔭᐅᔪᖅ ᐊᓯᐅᔾᔨᓂᖅᓂᕆᐅᒋᔭᐅᔪᖅ ᐊᑭᖓ ᐊᕐᓕᒃᓗᒍ ᐱᙳᐊᕈᑏᑦ ᑲᑎᑕᐅᓂᖏᓐᓄᑦ; ᐱᙳᐊᖅᑕᐅᓂᖓᓂ ᐅᕝᕙᓘᓐᓃᑦ ᐱᕕᒃᓴᕐᒥ ᐊᓯᐅᔾᔨᓂᖅ ᐊᔾᔨᒌᒃᑎᑕᐅᔪᖅ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → $32; ᓱᓕᓪᓚᕆᒃᑐᖅ −$340 ᐊᑕᐅᓯᕐᒥᒃ ᕿᑎᐊᓂᓗ ᐊᔾᔨᒌᙱᓐᓂᐅᑉ ᐊᑦᔨᐅᑎᖏᓐᓂᒃᓈᓴᐃᓂᖅᐊᔾᔨᒌᙱᓐᓂᐅᑉ ᐊᑦᔨᐅᑎᖓᐊᔾᔨᒌᙱᓐᓂᐅᑉ ᓯᑭᐊᖅᑐᓂᖓ (√); ᐱᓐᓂᐅᑉ ᓂᕆᐅᒋᔭᐅᔪᒥᑦ ᐊᑐᐃᓐᓇᐅᒐᔪᒃᑐᖅ ᐅᖓᓯᑦᑎᒋᓂᖓ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐊᑖᓃᑦᑐᖅ: ᐱᐅᙱᑦᑐᖅ ᐱᙳᐊᖅᑕᐅᓂᖓ, ᕕᐳᓈᑦᓯᓗ ᑕᒪᑐᒥᖓ ᐊᑯᓂᐅᑎᓪᓗᒍ ᑕᓪᓕᒪᓂ ᐊᑕᐅᓯᕐᒥᒃ ᖃᓂᒋᔮᓂ ᐊᔾᔨᖓᓂᒃ ᓴᖅᑭᑎᑦᓯᒐᔪᒃᑐᖅ. ᐃᓱᓕᑦᑎᔪᑦ ᐊᑲᐅᓯᐃᑦ ᐊᑐᓂ $5 ᐊᑭᓕᖅᐳᑦ; ᐱᐅᙱᑦᑐᖅ ᐊᑲᐅᓯᖅ ᐃᐃᑎ ᐃᐃᑦ ᐅᑯᓇᖓᑦ ᐊᓯᐅᑎᑦᓯᔪᖅ.
ᐱᙳᐊᖅᑕᐅᓂᖓᑕ ᑕᑯᑎᑦᓯᔭᖓ
ᕕᐳᓈᑦᓯ ᒫᑎᓐᒐᐃᓪ ᐃᖕᒋᓕᒃᑕᖓᓂᒃ ᐊᒥᓱᓄᑦ ᑲᐃᕙᕐᓂᕐᓄᑦ ᓯᐊᒻᒪᒃᑎᑦᓯᔪᖅ ᐅᖓᓯᓐᓂᖅᓴᒧᓪᓗ ᓇᑦᑎᖅᓯᓪᓗᓂ, ᑕᐃᒪ ᐊᔪᕐᓴᓇᐃᓂᖅᓴᐅᓪᓗᓂ ᑕᒡᓚᖅᓯᓂᖅᓴᐅᓪᓗᓂᓗ: ᐱᙳᐊᕈᑏᑦ ᑮᓇᐅᔭᖏᑦ ᐱᐅᔪᑎᑐᑦ ᑕᑯᓐᓇᖅᐳᑦ, ᐱᐅᙱᑦᑐᒧᑦ ᑎᑭᓪᓗᒋᑦ. ᑖᓚ ᐊᑐᓂ ᓂᕆᐅᒋᔭᐅᔪᖅ ᐊᓯᐅᔾᔨᓂᖅ ᐊᓯᑦᑐᖅᓯᒪᙱᑦᑐᖅ; ᖁᕝᕙᕐᓂᐅᑉ ᐃᓚᒋᐊᖅᓯᒪᔪᑦ ᐱᙳᐊᕈᑏᑦ ᑲᑎᑕᐅᓂᖏᑦᑮᓇᐅᔭᖅᐱᙳᐊᕈᑏᑦ ᑲᑎᑕᐅᓂᖏᑦᐱᙳᐊᖅᑕᐅᓂᖓᓂ ᐅᕝᕙᓘᓐᓃᑦ ᐱᕕᒃᓴᕐᒥ ᐱᙳᐊᕈᑎᒋᔭᐅᔪᑦ ᑲᑎᓪᓗᒋᑦ, ᐊᔪᒐᐅᑎᑦ ᐱᙳᐊᕈᑎᒋᖃᑦᑕᖅᑕᐅᔪᑦ ᐃᓚᓗᒋᑦ. ᐊᓯᐊᓂ ᐊᑎᖏᑦ: ᕼᐋᓐᑐᓪ, ᐋᒃᓴᓐ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᑮᓇᐅᔭᑦ ᓇᒧᑦ ᐃᖏᕐᕋᓂᖏᑦ.
ᐊᐱᖅᑯᑏᑦ
ᓈᓴᐅᑎᒥ n ᐊᔪᒐᕐᓂᖅ n−1 ᐊᒻᒪ n−2 ᓈᓴᐅᑏᒃ ᐊᓯᐅᔾᔨᓂᖏᓐᓂᒃ ᐅᑎᖅᑎᑦᓯᒻᒪᑦ, ᑲᑎᑦᓱᒋᑦ ᐊᔾᔨᒌᒃᑐᒃ. ᑐᓪᓕᖅᑐᖅ ᒪᓕᒐᕐᒧᑦ ᓴᓇᔭᐅᓯᒪᔪᖅ.
ᐊᔾᔨᒌᒃᑐᓂ ᐊᓯᐅᔾᔨᓂᕐᓂ ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓ ᐊᖏᓛᖅ ᒥᑭᓂᖅᓴᐅᔪᖅ, ᑕᐃᒪ ᐄ, ᐃᖕᒋᓕᒃ ᑭᖑᓂᖅᓴᐅᒻᒪᑦ. ᓂᕆᐅᒋᔭᐅᔪᖅ ᐊᑭᖓ ᐊᔾᔨᒌᒃᑐᖅ.
ᖁᓕᑦ ᒪᕐᕉᖓ, $5 ᐊᑦᔨᐅᑎ ᐊᑐᖅᓗᒍ: 5, 5, 10, 15, 25, 40, 65, 105, 170, 275, 445, ᑕᐃᒪ 720.
ᐃᓪᓗᕐᓇᖅᑐᖅ ᐊᔾᔨᓕᐊᖅ
ᓯᓚᑦᑐᓴᓇᖅᑐᖅ ᐊᔾᔨᒌᙱᓐᓂᖅ 1.618. ᑳᓯᓅᑉ ᐃᓚᖓ ᓱᓕ 2.70%.
ᐱᕝᕕᒋᔭᐅᔪᑦ
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.