ᑎᐊᕐ ᑐ ᓯᓕᓐᑐᕐ ᕉᓚᑦᒥ
“ᐊᒃᓴᓗᐊᑉ ᐱᖓᓱᖓᓂ ᐊᕕᒃᓯᒪᓂᖓ”: ᕉᓚᑦᒥ ᑎᐊᕐ ᐱᙳᐊᕈᑎ ᐃᓂᓐᓄᑦ ᖁᓕᓄᑦ ᒪᕐᕉᓄᓪᓗ ᓯᕉᑉ ᐊᑭᐊᓃᑦᑐᓄᑦ ᐱᙳᐊᕈᑎᐅᔪᖅ.

ᐱᖓᓲᔪᖅᑐᑦ ᒪᕐᕉᓄᑦ ᐱᙳᐊᕈᑏᑦ, ᐱᖓᓲᔪᖅᑐᑦ ᓯᑉᐳᑦ, ᖁᓕᑦ ᒪᕐᕉᒡᓗ ᓈᓴᐅᑏᑦ: ᐊᒃᓴᓗᐊᕐᒥ 27-ᒥᑦ 33-ᒧᑦ. ᐱᔪᓐᓇᕐᓂᖅ 32.43%, ᐊᔪᒐᖅᐸᑦ ᓱᓕᓪᓚᕆᒃᑐᖅ +12 ᐊᑦᔨᐅᑏᑦ.
ᒪᕐᕉᓄᑦ ᐱᙳᐊᕈᑏᑦ
5-8, 10-11, 13-16, 23-24, 27-30, 33-36. ᐱᖓᓲᔪᖅᑐᑦ ᓯᑉᐳᑦᑮᓇᐅᔭᖅᓯᑉᓇᓗᓇᐃᒃᑯᑎ ᐊᑭᖃᐃᓐᓇᖅᑐᖅ, ᐱᙳᐊᕈᑎᓕᕆᕝᕕᖕᒥ ᐃᓕᔭᐅᔪᖅ ᐱᙳᐊᕈᑎᓕᐅᕐᓂᕐᒧᑦ. ᐊᓯᐊᓂ ᐊᑎᖓ: ᓯᐊᒃ (check).ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ →, ᑕᒪᕐᒥᑦ ᒪᕐᕉᓄᑦ ᐱᙳᐊᕈᑎᐅᔪᑦᐱᙳᐊᕈᑎᒪᕐᕉᓄᑦ ᐱᙳᐊᕈᑎᒪᕐᕉᒃ ᓈᓴᐅᑏᒃ ᓴᓂᓕᐅᑎᒌᒃᑐᒃ, ᐊᑭᓕᐅᑎ 17:1.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → 17, 1-ᒧᑦ ᐊᑭᓕᐅᑎᓕᒃ. ᓈᓴᐅᑏᑦ ᖁᓕᑦ ᒪᕐᕉᒡᓗ ᐊᒃᓴᓗᐊᕐᒥ ᑐᓪᓕᑎᒌᒃᑐᑦ 27-ᒥᑦ 33-ᒧᑦ: 27 13 36 11 30 8 23 10 5 24 16 33. ᐅᖃᐅᓯᐅᔪᖅ “ᑎᐊᕐ” (ᑎᐊᕐ ᑐ ᓯᓕᓐᑐᕐFR · ᐊᒃᓴᓗᐊᑉ ᐃᓚᖓᑎᐊᕐ ᑐ ᓯᓕᓐᑐᕐ“ᐊᒃᓴᓗᐊᑉ ᐱᖓᓱᓂ ᐃᓚᖏᓐᓂ ᐊᑕᐅᓯᖅ”: ᖁᓕᑦ ᒪᕐᕉᒡᓗ ᓈᓴᐅᑏᑦ ᓯᕉᐅᑉ ᐊᑉᐱᖓᓃᑦᑐᑦ, ᐊᒃᓴᓗᐊᕐᒥ 27-ᒥᑦ 33-ᒧᑦ, ᐱᖓᓲᔪᖅᑐᓂᒃ ᒪᕐᕉᓄᑦ ᐱᙳᐊᕈᑎᓂᒃ ᐱᙳᐊᕈᑎᒋᔭᐅᔪᑦ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ →, ᐃᓛᓐᓂ “series 5/8” ᔮᒪᓂ ᑳᓯᓄᐃᑦ ᓯᕗᓪᓕᖅᐹᖅ ᒪᕐᕉᓄᑦ ᐱᙳᐊᕈᑎ ᒪᓕᒡᓗᒍ).
ᐊᑭᓕᐅᑎ ᓂᕆᐅᒋᔭᐅᔪᕐᓗ
ᐊᔪᒐᖅᐸᑦ ᒪᕐᕉᓄᑦ ᐱᙳᐊᕈᑎ ᐊᑕᐅᓯᖅ 17 ᐊᑦᔨᐅᑏᑦᑮᓇᐅᔭᖅᐊᑦᔨᐅᑎᐸᕐᓇᐅᑎᐅᑉ ᐅᕝᕙᓘᓐᓃᑦ ᐱᙳᐊᖅᑎᐅᑉ ᑐᙵᕕᒋᔭᖓ ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓ. ᐊᓯᑦᑐᖅᐸᓪᓕᐊᓂᐅᔪᑦ ᐊᑦᔨᐅᑎᓄᑦ ᓇᓗᓇᐃᖅᑕᐅᕙᒃᑐᑦ, ᑕᐃᒪ ᓇᓕᐊᓂᑐᐃᓐᓇᖅ ᐱᙳᐊᕐᕕᒻᒥ ᐊᑐᕈᓐᓇᖁᓪᓗᒋᑦ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐊᑭᓕᖅᑕᐅᔪᖅ ᐊᓯᖏᓪᓗ ᑕᓪᓕᒪᑦ ᐊᓯᐅᔾᔨᓪᓗᑎᒃ: ᓱᓕᓪᓚᕆᒃᑐᖅ +12 6 ᐊᑦᔨᐅᑏᓐᓂᑦ ᐱᙳᐊᕈᑎᒋᔭᐅᔪᓂᑦ. ᐱᔪᓐᓇᕐᓂᖅᓈᓴᐃᓂᖅᐱᔪᓐᓇᕐᓂᖅᐱᓐᓂᐅᑉ ᐱᔪᓐᓇᕐᓂᖓ, 0-ᒥᑦ 1-ᒧᑦ ᐅᕝᕙᓘᓐᓃᑦ 0%-ᒥᑦ 100%-ᒧᑦ. ᓈᓴᐅᑎ ᐊᑕᐅᓯᖅ: 1/37 = 2.70%.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → 12/37. EV ᑲᐃᕙᕐᓂᕐᒧᑦ: (12/37)(12) − (25/37)(6) = (144 − 150)/37 = −6/37, ᑕᐃᒪ 2.70% ᐱᖓᓲᔪᖅᑐᓂᑦ ᐊᑦᔨᐅᑏᓐᓂᑦ. ᑕᓴᓐᑎᑐᑦᐱᙳᐊᕈᑎᑕᓴᓐ1–12, 13–24 ᐅᕝᕙᓘᓐᓃᑦ 25–36, ᐊᑭᓕᐅᑎ 2:1.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐃᓗᓕᖃᖅᑐᖅ, ᐊᒃᓴᓗᐊᕐᒥ ᐱᙳᐊᕈᑎᓕᕆᕝᕕᖕᒥᐊᑐᖅᑕᐅᔪᑦᐱᙳᐊᕈᑎᓕᕆᕝᕕᒃᐱᙳᐊᕐᕕᒻᒥ ᑎᑎᕋᖅᓯᒪᔪᑦ ᐱᙳᐊᕈᑏᑦ ᐊᓪᓚᖏᑦ. ᐊᓯᐊᓂ ᐊᑎᖏᑦ: ᐱᙳᐊᕐᕕᒃ, ᐅᓗᐱᓕᒐᖅ, ᐊᓐᓄᕌᒃᓴᖅ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐅᓐᓂᑦ, ᐊᔾᔨᒌᒃᑐᒥᒡᓗ ᐊᑭᓕᐅᑎᓕᒃᑮᓇᐅᔭᖅᐊᑭᓕᐅᑎᐊᔪᒐᖅᑐᖅ ᐱᙳᐊᕈᑎ ᖃᔅᓯᓂᒃ ᐅᑎᖅᑎᑦᓯᒻᒪᖔᑦ, “X 1-ᒧᑦ” ᐅᖃᐅᓯᐅᔪᖅ ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓ ᐅᑎᖅᑎᑕᐅᔪᖅ ᐃᓚᓇᒍ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ →: ᐊᔪᒐᕐᓂᖅ ᑕᒪᐃᓐᓂ ᐊᑭᓕᐅᑎ ᐊᔾᔨᒌᒃᑐᖅ.
ᑎᐊᕐ ᑕᓴᓐᓗ
ᐃᑲᕐᕋᑦᑎᒃ ᓈᓴᐅᑎᓂᒃ ᖁᓕᓂᒃ ᒪᕐᕉᓂᒡᓗ 32.43%-ᒥ ᐃᓗᓕᖃᖅᑐᒃ. $30 ᑕᓴᓐ ᐊᔪᒐᖅᐸᑦ +$60 ᐊᑭᓕᐅᑎᖃᖅᑐᖅ, ᐱᖓᓲᔪᖅᑐᑎᑐᑦ $5 ᒪᕐᕉᓄᑦ ᐱᙳᐊᕈᑏᑦ. ᐱᙳᐊᕈᑎᐅᓪᓗᐊᕐᓂᒃ ᐊᔾᔨᒌᒃᑐᒃ ᐊᑭᓕᐅᑎᒃᑯᑦ ᐱᔪᓐᓇᕐᓂᒃᑯᓪᓗ; ᐊᔾᔨᒌᙱᑦᑐᒃ ᓈᓴᐅᑏᑦ ᖁᓕᑦ ᒪᕐᕉᒡᓗ ᓱᓇᐅᓂᖏᑎᒍᑦ, ᐊᒃᓴᓗᐊᑉ ᐃᓚᖓᓂᒡᓗ ᓴᓇᔪᓐᓂᖏᑎᒍᑦ ᑭᓯᐊᓂ. ᓴᖑᓯᒪᔪᒥᒃ ᕿᓂᖅᑎᒧᑦ ᑕᒪᓐᓇ ᐃᓘᓐᓇᖓ; ᐸᕐᓇᐅᑎᒥᒃ ᐊᑐᖅᑎᒧᑦ ᓱᓇᐅᙱᑦᑐᖅ.
ᓱᒻᒪᑦ ᓯᕉᑉ ᐊᑭᐊᓂ
ᕖᓇᓯ ᐊᒃᓴᓗᐊᑉ ᐃᓚᖏᓐᓄᑦᐊᒃᓴᓗᐊᖅᐊᒃᓴᓗᐊᑉ ᐃᓚᖓᐊᒃᓴᓗᐊᕐᒥ ᐃᓂᑦ ᓴᓂᓕᐅᑎᒌᒃᑐᑦ ᑲᑎᑦᑐᑦ, ᐱᙳᐊᕈᑎᓕᕆᕝᕕᖕᒥ ᑲᑎᑦᑐᓂᑦ ᐊᔾᔨᒋᙱᑦᑐᑦ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐱᙳᐊᕈᑏᑦ ᐊᒃᓴᓗᐊᕐᒥᒃ ᐃᓘᓐᓇᖓᓂᒃ ᐊᕕᒃᓯᔪᑦ: ᕗᐊᓴᓐ ᑐ ᓯᐅᕉFR · ᐊᒃᓴᓗᐊᑉ ᐃᓚᖓᕗᐊᓴᓐ ᑐ ᓯᐅᕉ“ᓯᕉᐅᑉ ᓴᓂᐊᓃᑦᑐᖏᑦ”: ᖁᓕᑦ ᐊᕐᕕᓂᓖᑦ ᐊᑕᐅᓯᕐᓗ ᓈᓴᐅᑏᑦ ᐊᒃᓴᓗᐊᕐᒥ 22-ᒥᑦ 25-ᒧᑦ, ᐊᕐᕕᓂᓖᑦ ᐱᖓᓱᓂᒃ ᓯᑉᐳᓂᒃ ᐱᙳᐊᕈᑎᒋᔭᐅᔪᑦ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → 17 ᐃᓂᓐᓂᒃᐊᑐᖅᑕᐅᔪᑦᐃᓂᑲᐃᕙᖅᑐᒥ 37 ᓈᓴᐅᑎᓕᑦ ᐃᓂᑦ ᐊᑕᐅᓯᖓ. ᐊᓯᐊᓂ ᐊᑎᖏᑦ: ᐃᓂᒋᐊᖅ, ᖃᓪᓗᐊᖅ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᓯᕉᑉᐊᒃᓴᓗᐊᖅᓯᕉᐊᑕᐅᓯᖅ ᐅᔾᔪᐊᕌᔭᒃ ᐃᓂ ᐊᔾᔨᒌᒃᑐᒥᒃ ᐊᑭᓕᐅᑎᓕᖕᓄᑦ, ᑕᓴᓐᓄᑦ ᓇᑉᐸᖅᑐᓄᓪᓘᓐᓃᑦ ᐱᙳᐊᕈᑏᑦ ᐃᓚᐅᑎᙱᑕᖓ; ᑳᓯᓅᑉ ᐃᓚᖓᑕ ᐱᓇᓪᓗᑎᖓ. ᐊᓯᐊᓂ ᐊᑎᖏᑦ: ᐊᑕᐅᓯᖅ ᓯᕉ, 0.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᖃᓂᒋᔭᖓᓂ ᑎᒍᔪᖅ, ᑎᐊᕐ 12-ᓂᒃ ᐊᑭᐊᓃᑦᑐᓂᒃ, ᐅᕐᕙᓚᓐFR · ᐊᒃᓴᓗᐊᑉ ᐃᓚᖓᐅᕐᕙᓚᓐ“ᐃᕐᓂᐊᕐᓂᖅ ᐊᓈᓇᖃᙱᑦᑐᑦ”: ᐊᕐᕕᓂᓖᑦ ᒪᕐᕉᒃ ᓈᓴᐅᑏᑦ ᕗᐊᓴᓐᒧᑦ ᑎᐊᕐᒧᓪᓗ ᐃᓚᐅᙱᑦᑐᑦ: 17, 34, 6 ᐊᒻᒪᓗ 1, 20, 14, 31, 9.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → 8-ᓂᒃ ᐱᑕᖃᖅᑐᓂᒃ ᒪᕐᕉᓐᓂ ᒥᑭᔪᓂ ᐃᓚᖏᓐᓂ. ᑲᑎᓪᓗᒋᑦ 37 ᐃᓘᓐᓇᖏᑦ ᐊᑕᐅᓯᐊᖅᑐᖅ ᐃᓗᓕᖃᖅᑐᑦ. ᐱᖓᓱᑦ ᒪᓐᑎ ᑳᓗᒥ ᐋᖅᑭᒃᓯᒪᓕᖅᑐᑦ, ᑕᑯᔭᐅᔪᓂᓗ ᐱᙳᐊᕐᕕᓐᓂ ᑕᒪᐃᓐᓂ ᐊᒃᓴᓗᐊᑉ ᐊᔾᔨᖓᓂᐱᙳᐊᕐᕕᒃᐊᒃᓴᓗᐊᑉ ᐊᔾᔨᖓᑕᑯᔭᐅᔪᓂ ᖃᕆᑕᐅᔭᒃᑯᓪᓗ ᐱᙳᐊᕈᑎᓕᕆᕝᕖᓐᓂ ᐊᒃᑲᐅᒐᓗᐊᖅ ᓈᓴᐅᑏᑦ ᐊᒃᓴᓗᐊᕐᒥ ᑐᓪᓕᐊᓂᖏᓐᓂ ᑕᑯᑎᑦᓯᔪᖅ, ᓴᓂᐊᓃᑦᑐᓄᑦ ᐊᒃᓴᓗᐊᑉ ᐃᓚᖓᓄᓪᓗ ᐱᙳᐊᕈᑏᑦ ᐊᑕᐅᓯᕐᒥᒃ ᓇᓪᓕᒃᑯᑎᒥᒃ ᐃᓕᔾᔨᓂᕐᒧᑦ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᓇᕿᑦᑕᐅᓯᒪᔪᑦ.
ᐱᙳᐊᕐᕕᒻᒥ
ᐱᙳᐊᖅᑎᑦᓯᔨ ᐱᖓᓲᔪᖅᑐᓂᒃ ᓯᑉᐳᓂᒃ ᓯᑭᓐᓂ ᐊᒥᓲᙱᑦᑐᓂ ᐃᓕᔨᔪᖅ ᐅᖃᐅᓯᕐᓗ ᐅᖃᐅᑎᒋᑲᐅᑎᓪᓗᒍ (“ᑎᐊᕐ, ᓴᐃᒃ ᐱᐊᔅ” ᑕᓪᓕᒪᓄᑦ ᐊᑦᔨᐅᑎᓄᑦ ᑕᒪᐃᓐᓄᑦ). ᐃᓂᑦᑎᐊᕐᓂᒃᑯᑦ, ᐊᒃᓴᓗᐊᑉ ᐊᔾᔨᖓᑕ ᓇᕿᑦᑕᐅᑎᖓ ᐊᑕᐅᓯᐊᖅᑐᖅ ᐊᒃᑐᖅᐸᑦ ᐱᖓᓲᔪᖅᑐᑦ ᐃᓘᓐᓇᖏᑦ ᐃᓕᔭᐅᔪᑦ. ᒥᑭᓛᖏᑦ ᐅᖃᐅᓯᐅᑉ ᑲᑎᑕᐅᓂᖓᓄᑦ ᐊᑐᖅᑐᑦ, ᑕᐃᒪ $5 ᐃᓗᐊᓂ ᒥᑭᓛᖅ ᐱᖓᓲᔪᖅᑐᓂᒃ $1 ᓯᑉᐳᓂᒃ ᑎᑭᐅᑎᖃᖅᑐᖅ.
ᐊᐱᖅᑯᑏᑦ
ᐋᒃᑲ. ᐊᒃᓴᓗᐊᑉ ᐱᖓᓱᖓᓂ ᐊᕕᒃᓯᒪᓂᖓ ᓯᕉᒥᑦ ᐅᖓᓯᓛᖅ.
ᐱᖓᓲᔪᖅᑐᑦ ᒪᕐᕉᓄᑦ ᐱᙳᐊᕈᑏᑦ ᐃᓕᔪᓐᓇᖅᑕᑎᑦ ᐊᒡᒐᕐᓂᒃ ᓇᓪᓕᐊᑐᐃᓐᓇᕐᒥᒃ ᑮᓇᐅᔭᖃᖅᑎᓪᓗᒋᑦ; ᐅᖃᐅᓯᕐᒥᒃ ᐱᙳᐊᕈᑎᐱᙳᐊᕐᕕᒃᐅᖃᐅᓯᕐᒥᒃ ᐱᙳᐊᕈᑎᐱᙳᐊᕈᑎ ᐱᙳᐊᖅᑎᑦᓯᔨᒧᑦ ᐅᖃᐅᓯᐅᔪᖅ ᐊᒡᒐᒥᒃ ᐃᓕᔭᐅᓐᖏᓪᓗᓂ, ᐊᒃᓴᓗᐊᑉ ᐃᓚᖓᓄᑦ ᐱᙳᐊᕈᑎᐅᒐᔪᒃᑐᖅ ᕗᐊᓴᓐ ᐅᕝᕙᓘᓐᓃᑦ ᑎᐊᕐ ᐊᔾᔨᖏᑦ. ᐊᓯᐊᓂ ᐊᑎᖓ: “ᐅᖃᐅᓯᕐᒥᒃ ᐱᙳᐊᕈᑎ”.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᓇᒻᒥᓂᖅ ᐱᖓᓲᔪᖅᑐᑦ ᐊᔾᔨᒌᒃᑐᑦ ᓯᑉᐳᑦ.
ᐃᓪᓗᕐᓇᖅᑐᖅ ᐊᔾᔨᓕᐊᖅ

ᖁᓕᑦ ᒪᕐᕉᒡᓗ ᐃᓂᑦ, ᐱᖓᓲᔪᖅᑐᑦ ᓯᑉᐳᑦ, ᐊᒃᓴᓗᐊᑉ ᐱᖓᓱᖓᓂ ᐊᕕᒃᓯᒪᓂᖓ.
ᐱᕝᕕᒋᔭᐅᔪᑦ
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Wykes, A. The Complete Illustrated Guide to Gambling.