ᕉᓚᑦᒥ ᐃᓕᓐᓂᐊᕐᓂᖅ · ᐱᒋᐊᓕᖅᑐᖅ · 8 ᒥᓂᑦ

ᕉᓚᑦ: ᐊᑭᓕᐅᑏᑦ

ᕉᓚᑦᒥ ᐊᑭᓕᐅᑏᑦ ᐊᑕᐅᓯᕐᒥᒃ ᒪᓕᒐᕐᒥᒃ ᒪᓕᒃᑐᑦ: 36 ᐊᕕᒃᓯᒪᔪᖅ ᓈᓴᐅᑏᑦ ᐱᙳᐊᕈᑎᒋᔭᐅᔪᑦ ᐊᒥᓲᓂᖏᓐᓄᑦ, ᐊᑕᐅᓯᕐᒥᒃ ᐲᖅᓯᓗᒍ.

ᓇᐃᑦᑐᖅ ᑭᐅᔾᔪᑎ

ᐊᑭᓕᐅᑎ = 36/n − 1. ᓈᓴᐅᑎ ᐊᑕᐅᓯᖅ 35:1 ᐊᑭᓕᖅᑐᖅ, ᒪᕐᕉᒃ 17:1 ᐊᑭᓕᖅᑐᒃ, ᐃᐃᑏᓐ 1:1 ᐊᑭᓕᖅᑐᑦ. ᓈᓴᐅᑎᓕᐅᕈᑎ 36 ᐃᓂᖃᖅᑐᑦ ᐃᓱᒪᔪᖅ; 37 ᐱᑕᖃᖅᑐᑦ.

ᒪᓕᒐᖅ
36/n − 1
ᐊᑕᐅᓯᕐᒧᑦ ᐱᙳᐊᕈᑎ
35:1
ᐊᔾᔨᒌᒃᑐᒥᒃ ᐊᑭᓕᐅᑎᓕᒃ
1:1
ᑳᓯᓅᑉ ᐃᓚᖓ, ᐱᙳᐊᕈᑏᑦ ᐃᓘᓐᓈᒃ
2.70%

ᕉᓚᑦᒥ ᐊᑭᓕᐅᑏᑦ ᓈᓴᐅᑎᓕᐊᖏᑦ

ᐃᐅᕌᐸ ᕉᓚᑦᒥᐊᔾᔨᒋᙱᑦᑐᖅᐃᐅᕌᐸ ᕉᓚᑦᐊᑕᐅᓯᕐᒥᒃ ᓯᕉᓕᒃ ᐊᒃᓴᓗᐊᖅ, 37 ᐃᓂᑦ, ᑳᓯᓅᑉ ᐃᓚᖓ 2.70%. ᒪᑉᐱᒐᓂ ᐅᕙᓂ ᑐᙵᕕᐅᔪᖅ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐊᕐᕕᓂᓖᑦ ᐊᑕᐅᓯᖅ ᐊᔾᔨᒌᙱᑦᑐᑦ ᐊᑭᓕᐅᑏᑦᑮᓇᐅᔭᖅᐊᑭᓕᐅᑎᐊᔪᒐᖅᑐᖅ ᐱᙳᐊᕈᑎ ᖃᔅᓯᓂᒃ ᐅᑎᖅᑎᑦᓯᒻᒪᖔᑦ, “X 1-ᒧᑦ” ᐅᖃᐅᓯᐅᔪᖅ ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓ ᐅᑎᖅᑎᑕᐅᔪᖅ ᐃᓚᓇᒍ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᑭᓯᐊᓂ ᐱᑕᖃᖅᑐᑦ, ᓈᓴᐅᑏᑦ ᐊᒥᓲᓂᖏᑦ ᑕᒪᕐᒥᒃ ᐊᑕᐅᓯᕐᒥᒃ; ᐊᑖᓂ ᓈᓴᐅᑎᓕᐊᑦ ᕉᓚᑦ ᐱᔪᓐᓇᕐᓂᖏᓐᓂᒃ ᐊᑭᓕᐅᑏᓐᓂᒡᓗ ᓴᓂᐊᓃᑦᑐᓂᒃ ᑕᑯᑎᑦᓯᔪᑦ. ᒪᓕᒐᖅ ᐃᓕᑦᑐᒍ ᓈᓴᐅᑎᓕᐊᑦ ᐱᔭᕆᐊᖃᐃᓐᓇᙱᑦᑕᑦ; ᓈᓴᐅᑎᓕᐊᑦ ᐃᓕᑦᑐᒋᑦ ᒪᓕᒐᖅ ᓇᓗᓇᐃᓕᓂᐊᖅᑐᖅ.

ᓈᓴᐅᑏᑦ ᐱᙳᐊᕈᑎᒋᔭᐅᔪᑦᐱᙳᐊᕈᑎᐊᑭᓕᐅᑎᓈᒻᒪᒃᑐᖅ ᐊᑭᓕᐅᑎᐊᑭᓕᖅᑕᐅᙱᑦᑐᖅ
1ᐊᑕᐅᓯᕐᒧᑦ ᐱᙳᐊᕈᑎ35:136:11/37
2ᒪᕐᕉᓄᑦ ᐱᙳᐊᕈᑎ17:117.5:11/37
3ᐱᖓᓱᓄᑦ ᐱᙳᐊᕈᑎ11:111.33:11/37
4ᓯᑕᒪᓄᑦ ᐱᙳᐊᕈᑎ, ᐹᔅᑭᑦ8:18.25:11/37
6ᐱᖓᓲᔪᖅᑐᓄᑦ ᐱᙳᐊᕈᑎ5:15.17:11/37
12ᑕᓴᓐ, ᓇᑉᐸᖅᑐᖅ2:12.08:11/37
18ᐊᐅᐸᓗᒃᑐᖅ, ᕿᕐᓂᖅᑐᖅ, ᐊᕕᒃᑕᐅᔪᓐᓇᙱᑦᑐᖅ, ᐊᕕᒃᑕᐅᔪᓐᓇᖅᑐᖅ, ᐊᖏᔪᑦ, ᒥᑭᔪᑦ1:11.06:11/37
ᓈᒻᒪᒃᑐᖅ = 37/n − 1. ᐊᑭᓕᖅᑕᐅᙱᑦᑐᖅ ᐊᔾᔨᐅᔪᖅ ᑐᓪᓕᖅᑐᓂ ᑕᒪᐃᓐᓂ: ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓᑕ 2.70%-ᖓ.

ᐃᐅᕌᐸ ᕉᓚᑦ

ᓱᒻᒪᑦ ᑳᓯᓅᑉ ᐃᓚᖓ ᓇᓂᑐᐃᓐᓇᖅ ᐊᔾᔨᐅᕙ

ᐱᙳᐊᕈᑎ 37 ᐃᓂᓐᓂᑦᐊᑐᖅᑕᐅᔪᑦᐃᓂᑲᐃᕙᖅᑐᒥ 37 ᓈᓴᐅᑎᓕᑦ ᐃᓂᑦ ᐊᑕᐅᓯᖓ. ᐊᓯᐊᓂ ᐊᑎᖏᑦ: ᐃᓂᒋᐊᖅ, ᖃᓪᓗᐊᖅ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → n ᐱᙳᐊᕈᑎᒋᔪᖅ ᓈᒻᒪᒃᑐᒥᒃ ᐊᑭᓕᐅᑎᖃᕈᓂ (37 − n)/n, 1-ᒧᑦ ᐊᑭᓕᐅᑎᖃᕐᓂᐊᖅᑐᖅ. ᑳᓯᓄ ᐊᑭᓕᖅᑐᖅ (36 − n)/n, 1-ᒧᑦ. ᐲᖅᓯᒍᕕᑦ ᐊᔾᔨᒌᙱᓐᓂᖓ ᓱᓕᓪᓚᕆᒃᑐᖅ 1/n ᐊᑦᔨᐅᑎᑮᓇᐅᔭᖅᐊᑦᔨᐅᑎᐸᕐᓇᐅᑎᐅᑉ ᐅᕝᕙᓘᓐᓃᑦ ᐱᙳᐊᖅᑎᐅᑉ ᑐᙵᕕᒋᔭᖓ ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓ. ᐊᓯᑦᑐᖅᐸᓪᓕᐊᓂᐅᔪᑦ ᐊᑦᔨᐅᑎᓄᑦ ᓇᓗᓇᐃᖅᑕᐅᕙᒃᑐᑦ, ᑕᐃᒪ ᓇᓕᐊᓂᑐᐃᓐᓇᖅ ᐱᙳᐊᕐᕕᒻᒥ ᐊᑐᕈᓐᓇᖁᓪᓗᒋᑦ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐊᔪᒐᕐᓂᖅ ᑕᒪᕐᒥᒃ; ᐊᔪᒐᕐᓂᐅᑉ ᐱᔪᓐᓇᕐᓂᖓᓄᑦᓈᓴᐃᓂᖅᐱᔪᓐᓇᕐᓂᖅᐱᓐᓂᐅᑉ ᐱᔪᓐᓇᕐᓂᖓ, 0-ᒥᑦ 1-ᒧᑦ ᐅᕝᕙᓘᓐᓃᑦ 0%-ᒥᑦ 100%-ᒧᑦ. ᓈᓴᐅᑎ ᐊᑕᐅᓯᖅ: 1/37 = 2.70%.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → n/37 ᐊᒥᓱᓕᒋᐊᖅᑐᒍ ᓂᕆᐅᒋᔭᐅᔪᖅ ᐊᑭᓕᖅᑕᐅᙱᑦᑐᖅ ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓᑕ 1/37-ᖓ ᐱᙳᐊᕈᑎ ᑕᒪᐃᓐᓂ. ᑕᐃᒪᐃᒻᒪᑦ ᐱᙳᐊᕈᑏᑦ ᑲᑎᑦᑕᐅᓂᖏᑦ ᑳᓯᓅᑉ ᐃᓚᖓᓂᒃ ᐱᑕᖃᙱᑦᑐᒥᒃ ᓴᖅᑭᑎᑦᓯᔪᓐᓇᙱᑦᑐᑦ: ᐊᓯᐅᔾᔨᓂᐅᔪᓂᒃ ᓈᓴᐅᑏᓐᓂᒃ ᑲᑎᑦᓯᔪᑎᑦ.

ᐊᑭᓕᐅᑎ ᓈᓴᐅᑏᑦ ᐱᙳᐊᕈᑎᒋᔭᐅᔪᑦ ᒪᓕᒡᓗᒋᑦᐊᑭᓕᐅᑎ, 1-ᒧᑦ
ᐊᑕᐅᓯᕐᒧᑦ ᐱᙳᐊᕈᑎ (1/37)
35:1
ᒪᕐᕉᓄᑦ ᐱᙳᐊᕈᑎ (2/37)
17:1
ᐱᖓᓱᓄᑦ ᐱᙳᐊᕈᑎ (3/37)
11:1
ᓯᑕᒪᓄᑦ ᐱᙳᐊᕈᑎ (4/37)
8:1
ᐱᖓᓲᔪᖅᑐᓄᑦ ᐱᙳᐊᕈᑎ (6/37)
5:1
ᑕᓴᓐ / ᓇᑉᐸᖅᑐᖅ (12/37)
2:1
ᐊᔾᔨᒌᒃᑐᒥᒃ ᐊᑭᓕᐅᑎᓕᒃ (18/37)
1:1
ᐊᑭᓕᐅᑎ, 1-ᒧᑦ
017.5035:1
ᐊᑭᓕᐅᑎ = 36/n − 1. ᓈᒻᒪᒃᑐᖅ 37/n − 1 ᐅᑉᐱᓐᓇᕐᓂᐊᖅᑐᖅ. ᐊᑦᔨᐅᑎ ᐱᑕᖃᙱᑦᑐᖅ ᑳᓯᓅᑉ ᐃᓚᖓ.

“-ᒧᑦ” “ᐃᓚᓗᒍ”-ᓗ

35, 1-ᒧᑦ ᑐᑭᖃᖅᑐᖅ ᐊᔪᒐᖅᑐᖅ $1 ᓯᑉᑮᓇᐅᔭᖅᓯᑉᓇᓗᓇᐃᒃᑯᑎ ᐊᑭᖃᐃᓐᓇᖅᑐᖅ, ᐱᙳᐊᕈᑎᓕᕆᕝᕕᖕᒥ ᐃᓕᔭᐅᔪᖅ ᐱᙳᐊᕈᑎᓕᐅᕐᓂᕐᒧᑦ. ᐊᓯᐊᓂ ᐊᑎᖓ: ᓯᐊᒃ (check).ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → $35-ᒥᒃ ᐊᔪᒐᕐᓂᕐᒥᒃ ᐅᑎᖅᑎᑦᓯᓂᖓᓂᒃ $1-ᓗ ᑎᒍᐃᓐᓇᖅᑕᑦ. 35, 1-ᒧᑦ ᐱᙳᐊᕈᑎ ᐃᓚᓗᒍ, ᐊᒥᐊᓕᑲᒥ ᐃᓚᖏᓐᓂ ᐱᙳᐊᕈᑎᓕᕆᕝᕕᓐᓂᐊᑐᖅᑕᐅᔪᑦᐱᙳᐊᕈᑎᓕᕆᕝᕕᒃᐱᙳᐊᕐᕕᒻᒥ ᑎᑎᕋᖅᓯᒪᔪᑦ ᐱᙳᐊᕈᑏᑦ ᐊᓪᓚᖏᑦ. ᐊᓯᐊᓂ ᐊᑎᖏᑦ: ᐱᙳᐊᕐᕕᒃ, ᐅᓗᐱᓕᒐᖅ, ᐊᓐᓄᕌᒃᓴᖅ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᑮᓇᐅᔭᓂᒃ ᐱᙳᐊᕈᑏᓐᓂᓗ ᑕᑯᔭᐅᕙᒃᑐᖅ, ᑐᑭᖃᖅᑐᖅ $1 $35-ᒥ ᐃᓚᐅᓂᖓᓂᒃ, ᑕᐃᒪᐃᒻᒪᑦ ᓱᓕᔪᖅ ᐊᑭᓕᐅᑎ 34, 1-ᒧᑦ. ᕉᓚᑦ ᓇᓂᑐᐃᓐᓇᖅ “-ᒧᑦ” ᐊᑐᕐᓂᖅᐹᖑᔪᖅ. ᕉᓚᑦ ᐱᙳᐊᕐᕕᖓᑕ ᐊᑭᓕᐅᑎᖓ “ᐃᓚᓗᒍ” ᐅᖃᐅᓯᐅᒍᓂ, ᑕᐃᔅᓱᒥ ᐱᙳᐊᕈᑎᒥ ᑳᓯᓅᑉ ᐃᓚᖓᓈᓴᐃᓂᖅᑳᓯᓅᑉ ᐃᓚᖓᐱᙳᐊᕈᑎ ᐊᑐᓂ ᑳᓯᓅᑉ ᐊᔾᔨᒌᒃᑎᓪᓗᒋᑦ ᐱᓯᒪᓂᖅᓴᖅᑕᖓ: ᐃᐅᕌᐸ ᕉᓚᑦᒥ 2.70%.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᑕᑯᓐᓇᖓᓂᑦ ᐊᖏᓂᖅᓴᐅᔪᖅ.

ᕉᓚᑦ ᖃᓄᖅ ᐊᑭᓕᖅᐸ? ᓈᓴᐃᓂᐅᑉ ᐆᒃᑐᕋᐅᑏᑦ

ᖁᓕᑦ ᑖᓚᑦ ᓴᖅᑭᑦᑐᒧᑦ ᓯᑕᒪᓄᑦ ᐱᙳᐊᕈᑎᒧᑦᐱᙳᐊᕈᑎᓯᑕᒪᓄᑦ ᐱᙳᐊᕈᑎᓯᑕᒪᑦ ᓈᓴᐅᑏᑦ ᐱᙳᐊᕈᑎᓕᕆᕝᕕᖕᒥ ᑲᑎᖕᓂᖃᑎᒌᒃᑐᑦ, ᐊᑭᓕᐅᑎ 8:1.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ →: 8 × $10 = $80 ᐊᔪᒐᕐᓂᖅ, $90 ᐅᑎᖅᑐᖅ ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓ ᐃᓚᓗᒍ. ᖁᓕᑦ ᑖᓚᑦ ᓴᖅᑭᑦᑐᒧᑦ ᑕᓴᓐᒧᑦᐱᙳᐊᕈᑎᑕᓴᓐ1–12, 13–24 ᐅᕝᕙᓘᓐᓃᑦ 25–36, ᐊᑭᓕᐅᑎ 2:1.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ →: $20 ᐊᔪᒐᕐᓂᖅ, $30 ᐅᑎᖅᑐᖅ. ᖁᓕᑦ ᑖᓚᑦ ᓴᓂᐊᓃᑦᑐᓄᑦᐱᙳᐊᕈᑎᓴᓂᐊᓃᑦᑐᑦᓈᓴᐅᑎ ᐊᒃᓴᓗᐊᕐᒥᓗ ᓴᓂᖏᓐᓂ ᒪᕐᕉᓐᓂ ᐃᓂᒃ ᒪᕐᕉᒃ, ᑕᓪᓕᒪᑦ ᐊᑕᐅᓯᕐᒧᑦ ᐱᙳᐊᕈᑏᑦ ᓯᑉᐳᖏᑦ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐱᙳᐊᕈᑎᒧᑦ (ᑕᓪᓕᒪᑦ $2 ᓯᑉᐳᑦ) ᐊᑕᐅᓯᖅ ᓴᖅᑭᑦᑎᓪᓗᒍ: ᑖᓐᓇ ᓯᑉ 35 × $2 = $70 ᐊᑭᓕᖅᑐᖅ, ᓯᑕᒪᑦ ᐊᓯᖏᑦ $8 ᐊᓯᐅᔪᑦ, ᑲᑎᓪᓗᒋᑦ +$62. ᖁᓕᑦ ᑖᓚᑦ ᕗᐊᓴᓐ ᑐ ᓯᐅᕉFR · ᐊᒃᓴᓗᐊᑉ ᐃᓚᖓᕗᐊᓴᓐ ᑐ ᓯᐅᕉ“ᓯᕉᐅᑉ ᓴᓂᐊᓃᑦᑐᖏᑦ”: ᖁᓕᑦ ᐊᕐᕕᓂᓖᑦ ᐊᑕᐅᓯᕐᓗ ᓈᓴᐅᑏᑦ ᐊᒃᓴᓗᐊᕐᒥ 22-ᒥᑦ 25-ᒧᑦ, ᐊᕐᕕᓂᓖᑦ ᐱᖓᓱᓂᒃ ᓯᑉᐳᓂᒃ ᐱᙳᐊᕈᑎᒋᔭᐅᔪᑦ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ →-ᒧᑦ (ᐊᕐᕕᓂᓖᑦ ᐱᖓᓱᑦ ᓯᑉᐳᑦ, ᑕᐃᒪ $1.11 ᑕᒪᕐᒥᒃ ᐊᑐᖅᑎᓪᓗᒍ, ᐱᙳᐊᕐᕕᐅᑉ ᐊᓯᑦᑐᕐᓂᖏᓐᓄᑦ ᐊᔾᔨᒌᖅᑎᑕᐅᓪᓗᑎᒃ) ᐊᑭᓕᖅᑐᖅ +$10-ᒥᑦ +$16.67-ᒧᑦ ᓇᓕᐊ ᐃᓂ ᓴᖅᑭᓐᓂᖓ ᒪᓕᒡᓗᒍ, ᐱᙳᐊᕈᑎ ᐃᓚᖏᓐᓂᒃ ᐃᓂᓂᒃ ᒪᕐᕉᕆᐊᖅᓗᒍ ᐱᙳᐊᕈᑎᒋᒻᒪᑦ.

  • ᐊᑕᐅᓯᕐᒧᑦ ᐱᙳᐊᕈᑎᐱᙳᐊᕈᑎᐊᑕᐅᓯᕐᒧᑦ ᐱᙳᐊᕈᑎᓈᓴᐅᑎ ᐊᑕᐅᓯᖅ, ᐊᑭᓕᐅᑎ 35:1.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ →, $10: +$350 ᐊᔪᒐᕈᓂ, $360 ᐅᑎᖅᑐᖅ.
  • ᒪᕐᕉᓄᑦ ᐱᙳᐊᕈᑎᐱᙳᐊᕈᑎᒪᕐᕉᓄᑦ ᐱᙳᐊᕈᑎᒪᕐᕉᒃ ᓈᓴᐅᑏᒃ ᓴᓂᓕᐅᑎᒌᒃᑐᒃ, ᐊᑭᓕᐅᑎ 17:1.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ →, $10: +$170.
  • ᐱᖓᓱᓄᑦ ᐱᙳᐊᕈᑎᐱᙳᐊᕈᑎᐱᖓᓱᓄᑦ ᐱᙳᐊᕈᑎᐱᖓᓱᑦ ᓈᓴᐅᑏᑦ ᐱᙳᐊᕈᑎᓕᕆᕝᕕᐅᑉ ᑐᑭᓕᐊᖓᓂ ᐊᑕᐅᓯᕐᒥ, ᐊᑭᓕᐅᑎ 11:1. ᕖᓇᓯᑐᑦ: ᑐᕋᓐᔅᕙᕐᓴᓪ (transversale).ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ →, $10: +$110.
  • ᓯᑕᒪᓄᑦ ᐱᙳᐊᕈᑎ, $10: +$80.
  • ᐱᖓᓲᔪᖅᑐᓄᑦ ᐱᙳᐊᕈᑎᐱᙳᐊᕈᑎᐱᖓᓲᔪᖅᑐᓄᑦ ᐱᙳᐊᕈᑎᐱᖓᓲᔪᖅᑐᑦ ᓈᓴᐅᑏᑦ ᒪᕐᕉᓐᓂ ᓴᓂᓕᐅᑎᒌᒃᑐᓂ ᑐᑭᓕᐊᓂ, ᐊᑭᓕᐅᑎ 5:1. ᕖᓇᓯᑐᑦ: ᓯᓴᓐ (sixain).ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ →, $10: +$50.
  • ᑕᓴᓐ ᐅᕝᕙᓘᓐᓃᑦ ᓇᑉᐸᖅᑐᖅᐱᙳᐊᕈᑎᓇᑉᐸᖅᑐᖅᖁᓕᑦ ᒪᕐᕉᒡᓗ ᓈᓴᐅᑏᑦ ᐱᙳᐊᕈᑎᓕᕆᕝᕕᐅᑉ ᓇᑉᐸᖅᑐᖓᓂ ᐊᑕᐅᓯᕐᒥ, ᐊᑭᓕᐅᑎ 2:1.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ →, $10: +$20.
  • ᐊᔾᔨᒌᒃᑐᒥᒃ ᐊᑭᓕᐅᑎᓕᒃ, $10: +$10.

ᓴᓂᐊᓃᑦᑐᓄᑦ ᐱᙳᐊᕈᑎ ᕉᓚᑦᒥᕗᐊᓴᓐ ᑐ ᓯᐅᕉ ᐱᙳᐊᕈᑎ ᕉᓚᑦᒥ

ᕉᓚᑦ ᖃᓄᖅ ᐊᑭᓕᖅᐸ ᐱᙳᐊᕈᑏᑦ ᐊᒥᓱᑦ ᐊᑕᐅᑦᑎᒃᑯᑦ ᐃᓕᔭᐅᒍᑎᒃ?

ᐱᙳᐊᕈᑏᑦ ᑕᒪᕐᒥᒃ ᐃᒻᒥᓂᒃ ᐊᑭᓕᖅᓱᖅᑕᐅᔪᑦ ᑕᐃᒪ ᑲᑎᑕᐅᓪᓗᑎᒃ. $5 ᐊᐅᐸᓗᒃᑐᒧᑦᐱᙳᐊᕈᑎᐊᐅᐸᓗᒃᑐᖅᐊᔾᔨᒌᒃᑐᒥᒃ ᐊᑭᓕᐅᑎᓕᒃ ᐱᙳᐊᕈᑎ 18 ᐊᐅᐸᓗᒃᑐᓄᑦ ᓈᓴᐅᑎᓄᑦ. ᕖᓇᓯᑐᑦ: ᕈᔾ (rouge).ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ →, $5 ᕿᕐᓂᖅᑐᒧᑦᐱᙳᐊᕈᑎᕿᕐᓂᖅᑐᖅᐊᔾᔨᒌᒃᑐᒥᒃ ᐊᑭᓕᐅᑎᓕᒃ ᐱᙳᐊᕈᑎ 18 ᕿᕐᓂᖅᑐᓄᑦ ᓈᓴᐅᑎᓄᑦ. ᕖᓇᓯᑐᑦ: ᓄᐊᕐ (noir).ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → $1-ᓗ ᓯᕉᒧᑦᐊᒃᓴᓗᐊᖅᓯᕉᐊᑕᐅᓯᖅ ᐅᔾᔪᐊᕌᔭᒃ ᐃᓂ ᐊᔾᔨᒌᒃᑐᒥᒃ ᐊᑭᓕᐅᑎᓕᖕᓄᑦ, ᑕᓴᓐᓄᑦ ᓇᑉᐸᖅᑐᓄᓪᓘᓐᓃᑦ ᐱᙳᐊᕈᑏᑦ ᐃᓚᐅᑎᙱᑕᖓ; ᑳᓯᓅᑉ ᐃᓚᖓᑕ ᐱᓇᓪᓗᑎᖓ. ᐊᓯᐊᓂ ᐊᑎᖏᑦ: ᐊᑕᐅᓯᖅ ᓯᕉ, 0.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ →: ᐊᐅᐸᓗᒃᑐᖅ ᐅᕝᕙᓘᓐᓃᑦ ᕿᕐᓂᖅᑐᖅ ᓈᓴᐅᑎ ᓴᖅᑭᒍᓂ $5 ᐊᔪᒐᖅᑐᑎᑦ $5-ᓗ ᐊᓯᐅᔾᔨᓪᓗᑎᑦ, ᑲᑎᓪᓗᒋᑦ −$1 (ᓯᕉᒧᑦ ᓯᑉ). ᓯᕉ ᓴᖅᑭᒍᓂ $10 ᐊᓯᐅᔾᔨᔪᑎᑦ $35-ᓗ ᐊᔪᒐᖅᓗᑎᑦ, ᑲᑎᓪᓗᒋᑦ +$25. ᓂᕆᐅᒋᔭᐅᔪᖅ ᐊᑭᖓᓈᓴᐃᓂᖅᓂᕆᐅᒋᔭᐅᔪᖅ ᐊᑭᖓᐱᙳᐊᕈᑎ ᐊᑐᓂ ᐊᑯᓂᐅᓂᖅᓴᒥ ᐊᔾᔨᒌᒃᑎᑕᐅᔪᖅ ᐱᓐᓂᖓ. ᐃᐅᕌᐸ ᐱᙳᐊᕈᑎ ᑕᒪᐃᓐᓂ −1/37 ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓᓂᑦ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᓱᓕ −2.70% $11 ᐱᙳᐊᕈᑎᒋᔭᐅᔪᓂᑦ, −$0.30 ᖃᓂᒋᔭᖓ ᑲᐃᕙᕐᓂᕐᒧᑦ, ᐃᓚᖓ ᑕᒪᕐᒥᒃ ᐃᒻᒥᓂᒃ −2.70%-ᐅᒻᒪᑦ.

ᐱᙳᐊᕐᕕᒻᒥ ᐊᔾᔨᒌᖅᑎᑦᓯᓂᖅ

ᑳᓯᓄᒥ, ᕉᓚᑦ ᐱᙳᐊᕐᕕᖓᑕ ᐊᑭᓕᐅᑏᑦ ᓯᑉᐳᑦ ᐊᑭᖏᑦ ᒪᓕᒡᓗᒋᑦ ᐊᑭᓕᖅᑕᐅᔪᑦ, ᑕᐃᒪᐃᒻᒪᑦ ᐅᖃᐅᓯᕐᒥᒃ ᐱᙳᐊᕈᑏᓐᓂᐱᙳᐊᕐᕕᒃᐅᖃᐅᓯᕐᒥᒃ ᐱᙳᐊᕈᑎᐱᙳᐊᕈᑎ ᐱᙳᐊᖅᑎᑦᓯᔨᒧᑦ ᐅᖃᐅᓯᐅᔪᖅ ᐊᒡᒐᒥᒃ ᐃᓕᔭᐅᓐᖏᓪᓗᓂ, ᐊᒃᓴᓗᐊᑉ ᐃᓚᖓᓄᑦ ᐱᙳᐊᕈᑎᐅᒐᔪᒃᑐᖅ ᕗᐊᓴᓐ ᐅᕝᕙᓘᓐᓃᑦ ᑎᐊᕐ ᐊᔾᔨᖏᑦ. ᐊᓯᐊᓂ ᐊᑎᖓ: “ᐅᖃᐅᓯᕐᒥᒃ ᐱᙳᐊᕈᑎ”.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖏᑦ ᐃᓘᓐᓇᐅᙱᑦᑐᑦ ᐊᔾᔨᒌᖅᑎᑕᐅᔪᑦ. ᐃᓂᑦᑎᐊᕐᓂᒃᑯᑦ ᐱᙳᐊᕐᕖᑦ ᓴᓐᑎᒧᑦ ᑎᑭᓪᓗᒍ ᐊᑭᓕᖅᑐᑦ. ᐊᔾᔨᒌᖅᑎᑦᓯᓂᖅ ᐱᙳᐊᖅᑎᒧᑦ ᐱᐅᙱᑦᑐᒥᒃ ᐊᐅᓚᒍᓂ (ᐆᒃᑐᕋᐅᑎᒋᓗᒍ $0.333 ᓯᑉ $0.33-ᒥᒃ ᐊᑭᓕᖅᑕᐅᓪᓗᓂ), ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᑉᐱᑦ ᐃᓚᓐᓈᖓᑕ ᐳᓴᓐᑎᑦ ᐃᓚᓐᓈᖓ ᑭᓯᐊᓂ, ᑕᒫᓂᓗ ᑎᑎᕋᖅᓯᒪᔪᖅ ᐃᓄᐃᑦ ᐊᐱᕆᒐᔪᒃᑕᖏᒻᒪᑦ ᑭᓯᐊᓂ.

ᐅᖃᐅᓯᕐᒥᒃ ᐱᙳᐊᕈᑏᑦ ᓂᕆᐅᒋᔭᐅᔪᖅ ᐊᑭᖏᑦ

ᓱᒻᒪᑦ 36

36 ᐊᕕᒃᑕᐅᔪᓐᓇᖅᑐᖅ 1, 2, 3, 4, 6, 9, 12, 18, 36-ᓗ, ᑕᐃᒪᐃᒻᒪᑦ ᕉᓚᑦ ᐊᑭᓕᐅᑏᑦ ᑕᒪᕐᒥᒃ ᐊᑐᒐᔪᒃᑐᑦ ᓈᓴᐅᑏᑦ ᐃᓘᓐᓇᐅᔪᑦ. ᐱᕆᐱ (Biribi), ᐃᑕᓕᐊᒥ ᕉᓚᑦ ᐃᓗᐊᖃᑕᐅᑉ ᓯᕗᓪᓕᖓ, 70 ᓈᓴᐅᑎᖃᖅᓯᒪᔪᖅ ᐊᑕᐅᓯᐊᓄᓪᓗ ᐊᑭᓕᖅᓯᒪᓪᓗᓂ 64, 1-ᒧᑦ ᐱᙳᐊᕈᑎ ᐃᓚᓗᒍ; ᐊᑭᓕᐅᑎᐅᑉ ᒪᓕᒐᖓ 64-ᒥᒃ ᓴᓇᔭᐅᓯᒪᔪᖅ ᐊᕕᒃᑕᐅᔪᓐᓇᖅᑐᖅ 1, 2, 4, 8, 16 32-ᓗ ᓈᓴᐅᑏᓐᓄᑦ, ᑭᓯᐊᓂ 3, 5 ᐅᕝᕙᓘᓐᓃᑦ 6-ᒧᑦ ᐊᕕᒃᑕᐅᔪᓐᓇᙱᑦᑐᖅ, ᑕᐃᒪᐃᒻᒪᑦ ᐱᙳᐊᕈᑏᑦ ᐊᒥᓱᑦ ᐊᔾᔨᒌᖅᑎᑕᐅᔭᕆᐊᖃᓕᕐᓂᐊᖅᓯᒪᔪᑦ. ᐱᙳᐊᕈᑏᒃ ᒪᕐᕉᒃ ᐊᑐᐃᓐᓇᐅᓐᓂᖏᑦᑐᒃ 36/n − 1 ᒪᓕᒐᖓᓂᒃ ᐊᓯᖏᑦᑐᑦ ᒪᓕᒃᑐᒃ: ᒪᕐᕉᒃ ᓇᑉᐸᖅᑐᒃ, 24 ᓈᓴᐅᑏᑦ ᐱᙳᐊᕈᑎᒋᓪᓗᒋᑦ ½, 1-ᒧᑦ ᐊᑭᓕᖅᑐᖅ ($10 ᐊᔪᒐᖅᑐᖅ $5 ᐊᑭᓕᖅᑐᖅ), 9 ᓈᓴᐅᑎᓄᓪᓗ ᐱᙳᐊᕈᑎ 3, 1-ᒧᑦ, ᐃᓚᖏᑦ ᖃᕆᑕᐅᔭᒃᑯᑦ ᐱᙳᐊᕐᓂᑦ ᐱᙳᐊᕐᓂᑦ ᑳᑦᑕᓕᒻᒥᓪᓗ ᐊᑐᖅᑕᐅᔪᑦ. ᐊᑕᐅᓯᖅ ᓯᕉ ᐊᒃᓴᓗᐊᖓᓂ ᒪᕐᕉᒃ 2.70% ᐊᑭᖃᖅᑐᒃ, ᐊᓯᖏᑦᑐᑦ ᐃᓘᓐᓈᒃ.

ᐱᕆᐱ, ᕉᓚᑦ ᓯᕗᓪᓕᖓ: ᑮᓇᐅᔭᓕᕆᔨ ᐱᙳᐊᕐᕕᐅᑉ ᖁᓛᓂ ᐃᓗᓕᐅᑎᒥᑦ ᓈᓴᐅᑎᒥᒃ ᐲᔪᖅ.

ᑭᓇ ᕉᓚᑦ ᓴᓇᓚᐅᖅᐸᐅᒃ? ᕉᓚᑦ ᓇᑭᙶᕐᓂᖓ

ᓈᓴᐅᑎᓕᐅᕈᑎ

ᐊᑭᓕᐅᑎ = 36/n − 1
ᓈᒻᒪᒃᑐᖅ = 37/n − 1
EV ᐊᑦᔨᐅᑎᒧᑦ = (n/37)(36/n − 1) − (37 − n)/37 = −1/37

ᐊᐱᖅᑯᑏᑦ

ᓯᕉᒧᑦ ᐊᑕᐅᓯᕐᒧᑦ ᐱᙳᐊᕈᑎ ᒥᑭᓂᖅᓴᒥᒃ ᐊᑭᓕᖅᐸ?

ᐋᒡᒐ. ᓯᕉ ᐃᓂᐅᔪᖅ ᐊᓯᖏᑦᑐᑦ: 35, 1-ᒧᑦ.

ᐱᙳᐊᕈᑎ 35, 1-ᒧᑦ ᐅᖓᑖᓄᑦ ᐊᑭᓕᖅᑐᖅ ᐱᑕᖃᖅᐸ?

ᐃᐅᕌᐸ ᐱᙳᐊᕐᕕᖓᓂ ᐊᑐᒐᔪᒃᑐᒥ ᐱᑕᖃᙱᑦᑐᖅ. ᑕᓚᕖᓴᒃᑯᑦ ᐱᙳᐊᕐᓂᑦ ᐊᔾᔨᖏᑦ ᐊᒥᓱᓕᒋᐊᖅᑎᑦᓯᔪᓂᒃ ᐃᓚᒋᐊᖅᓯᔪᑦ, ᑕᒪᒃᑯᐊ ᐊᑭᓕᖅᑕᐅᔪᑦ ᐊᑐᒐᔪᒃᑐᖅ ᐊᑭᓕᐅᑎ 29, 1-ᒧᑦ ᒥᑭᓕᒋᐊᖅᑕᐅᓪᓗᓂ.

ᓱᒻᒪᑦ ᐹᔅᑭᑦ 8, 1-ᒧᑦ ᐊᑭᓕᖅᐸ ᐊᒥᐊᓕᑲᐅᓪᓗ ᑕᓪᓕᒪᓄᑦ ᐱᙳᐊᕈᑎ 6, 1-ᒧᑦ?

ᐃᐅᕌᐸ ᐹᔅᑭᑦᐱᙳᐊᕈᑎᐹᔅᑭᑦᐊᑕᐅᓯᕐᒥᒃ ᓯᕉᓕᒻᒥ ᐊᒃᓴᓗᐊᕐᒥ: 0, 1, 2, 3 ᐊᑕᐅᓯᕐᒥᒃ ᓯᑉᒥᒃ, ᐊᑭᓕᐅᑎ 8:1. ᐊᓯᐊᓂ ᐊᑎᖏᑦ: ᓯᕗᓪᓕᖅᐹᑦ ᓯᑕᒪᑦ, ᑲᑐᕐ ᐳᕋᒥᐊ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → 37-ᓂᑦ 4 ᐱᙳᐊᕈᑎᒋᔪᖅ ᓈᓴᐅᑎᓕᐅᕈᑎᒥᒡᓗ ᒪᓕᒃᑐᖅ. ᐊᒥᐊᓕᑲᐅᑉ 0-00-1-2-3 38-ᓂᑦ 5 ᐱᙳᐊᕈᑎᒋᔪᖅ, 36/5 − 1-ᓗ 6.2, ᐊᑖᓄᑦ 6-ᒧᑦ ᐊᔾᔨᒌᖅᑎᑕᐅᔪᖅ: ᑳᓯᓅᑉ ᐃᓚᖓ 7.89%, ᕉᓚᑦᒥ ᐊᑐᒐᔪᒃᑐᓂ ᐱᙳᐊᕈᑎ ᐱᐅᙱᓛᖅ.

ᐃᓪᓗᕐᓇᖅᑐᖅ ᐊᔾᔨᓕᐊᖅ

36/n − 1. ᐊᑕᐅᓯᖅ ᐃᓘᓐᓈᒃ ᓴᓇᔪᖅ.

36/n − 1. ᐊᑕᐅᓯᖅ ᐃᓘᓐᓈᒃ ᓴᓇᔪᖅ.

ᐱᕝᕕᒋᔭᐅᔪᑦ

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. ᐃᓚᖓ 13, ᕉᓚᑦ.
  2. Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed. Academic Press, 2013.
  3. Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette. CRC Press, 2021. ᐃᓚᖓ 2, ᕉᓚᑦ.
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