ᕉᓚᑦ: ᓈᓴᐃᓂᖅ · ᓈᓴᐃᓂᕐᒧᑦ ᐊᐱᖅᑯᑎ · 7 ᒥᓂᑦ

ᐊᐱᖅᑯᑎ: ᐃᓅᓪᓗᐊᑦᑕᕐᕕᒃ ᐊᒃᓴᓗᐊᖅ

ᑲᐃᕙᕐᓃᑦ ᖃᑦᓯᐅᔪᑦ ᑭᖑᓪᓗᒋᑦ ᓈᓴᐅᑎ ᐊᑦᔨᖏᑦ ᓴᖅᑭᑦᑑᖅᑐᖅ? ᐃᓄᐃᑦ ᐊᒥᓲᔪᑦ ᓇᓚᐅᑦᑖᖅᑕᖏᓐᓂᑦ ᐊᒥᓲᓐᓂᖅᓴᐅᙱᓪᓚᕆᒃᑐᑦ.

ᓇᐃᑦᑐᖅ ᑭᐅᔾᔪᑎ

ᐃᓅᓪᓗᐊᑦᑕᕐᕕᒃ ᐊᐱᖅᑯᑎ 37 ᐃᓂᓕᒃᐊᑐᖅᑕᐅᔪᑦᐃᓂᑲᐃᕙᖅᑐᒥ 37 ᓈᓴᐅᑎᓕᑦ ᐃᓂᑦ ᐊᑕᐅᓯᖓ. ᐊᓯᐊᓂ ᐊᑎᖏᑦ: ᐃᓂᒋᐊᖅ, ᖃᓪᓗᐊᖅ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐊᒃᓴᓗᐊᕐᒥ: 8 ᑲᐃᕙᕐᓃᑦ ᑐᐊᖅ ᑭᖑᓪᓗᒋᑦ, ᓈᓴᐅᑎ ᒪᕐᕉᕆᐊᖅᓗᒍ ᓴᖅᑭᓯᒪᓂᐊᕐᓂᖓ ᓇᑉᐸᖓᓂᑦ ᐱᔪᓐᓇᕐᓂᖅᓴᐅᔪᖅ. ᐱᙳᐊᖅᑏᑦ ᓴᖅᑭᑦᑑᖅᑐᑦ ᐊᔾᔨᒌᒃᑐᓂᒃ ᐱᐅᓯᐅᔪᑦ ᐃᓱᒪᒋᕙᒃᑕᖏᑦ; ᓈᒻᒪᒃᑐᖅ ᐊᒃᓴᓗᐊᖅ ᓂᕆᐅᒋᔭᐅᔪᒥᒃ ᐃᒪᓐᓇ ᐱᐅᓯᖃᖅᑐᖅ.

50% ᓴᖅᑭᑦᑑᕐᓂᕐᒧᑦ ᐱᔪᓐᓇᕐᓂᖅ

8 ᑲᐃᕙᕐᓃᑦ

90% ᐱᔪᓐᓇᕐᓂᖅ

14 ᑲᐃᕙᕐᓃᑦ

99% ᐱᔪᓐᓇᕐᓂᖅ

20 ᑲᐃᕙᕐᓃᑦ

ᓯᕗᓪᓕᖅᐹᒥ ᓴᖅᑭᑦᑑᕐᓂᕐᒧᑦ ᓂᕆᐅᒋᔭᐅᔪᑦ ᑲᐃᕙᕐᓃᑦ

≈ 8.3

ᐊᐱᖅᑯᑎ

ᓈᒻᒪᒃᑐᖅ ᐃᐅᕌᐸ ᐊᒃᓴᓗᐊᖓ ᑲᐃᕙᑦᑎᓗᒍ. ᑲᐃᕙᕐᓃᑦ ᖃᑦᓯᐅᔪᑦ ᐱᔭᕆᐊᖃᖅᐸᑦ ᑲᐃᕙᕐᓃᒃ ᒪᕐᕉᒃ ᐅᖓᑖᓄᓪᓘᓐᓃᑦ ᐊᔾᔨᒌᒃᑐᒥᒃ ᓈᓴᐅᑎᒥᒃ ᑕᑯᑎᑦᓯᓯᒪᓂᐊᕐᓂᖏᓐᓄᑦ ᐱᔪᓐᓇᕐᓂᖅᓈᓴᐃᓂᖅᐱᔪᓐᓇᕐᓂᖅᐱᓐᓂᐅᑉ ᐱᔪᓐᓇᕐᓂᖓ, 0-ᒥᑦ 1-ᒧᑦ ᐅᕝᕙᓘᓐᓃᑦ 0%-ᒥᑦ 100%-ᒧᑦ. ᓈᓴᐅᑎ ᐊᑕᐅᓯᖅ: 1/37 = 2.70%.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᓇᑉᐸᖓᓂᑦ ᐅᖓᑖᓄᑦ ᑎᑭᓐᓂᐊᖅᑎᓪᓗᒍ? ᐱᙳᐊᖅᑏᑦ ᐊᒥᓲᔪᑦ ᓇᓚᐅᑦᑖᖅᐸᒃᑐᑦ ᖃᓂᒋᔭᖓ 18 ᐅᕝᕙᓘᓐᓃᑦ 19, 37-ᐅᑉ ᓇᑉᐸᖓ. ᑭᐅᔾᔪᑎ 8.

ᑭᐅᔾᔪᑎ

ᓴᖅᑭᑦᑑᙱᓐᓂᕐᒧᑦ ᐱᔪᓐᓇᕐᓂᖅ ᓈᓴᕐᓗᒍ, ᑕᐃᒪᓗ ᐊᑕᐅᓯᕐᒥᑦ ᐲᖅᓯᓗᒍ. k ᑲᐃᕙᕐᓃᑦ ᑭᖑᓪᓗᒋᑦ, p(ᐃᓘᓐᓇᑎᒃ ᐊᔾᔨᒌᙱᑦᑐᑦ) = (37/37)(36/37)(35/37)…((38 − k)/37). k = 8 ᐃᒪᐃᑦᑎᓪᓗᒍ: 1 × 0.973 × 0.946 × 0.919 × 0.892 × 0.865 × 0.838 × 0.811 ≈ 0.44, ᑕᐃᒪ p(ᓴᖅᑭᑦᑑᕐᓂᖅ) ≈ 0.56. k = 14 ᐃᒪᐃᑦᑎᓪᓗᒍ 0.93; k = 20 ᐃᒪᐃᑦᑎᓪᓗᒍ 0.996. ᐃᓱᒪᒋᐅᔾᔨᓂᖅ ᑕᒻᒪᖅᑐᖅ, ᑲᐃᕙᕐᓃᒃ ᒪᕐᕉᖏᖅᑐᑦ ᐊᒥᓲᓂᖏᑦ k²-ᑐᑦ ᐊᖏᒡᓕᒋᐊᖅᐸᒻᒪᑕ, ᓇᓪᓕᐊᑐᐃᓐᓇᖅᓗ ᒪᕐᕉᖏᖅᑐᖅ ᐊᔾᔨᒌᔪᓐᓇᖅᑐᖅ.

ᑲᐃᕙᕐᓃᑦ kp(ᐃᓘᓐᓇᑎᒃ ᐊᔾᔨᒌᙱᑦᑐᑦ)p(ᐊᑕᐅᑦᑎᐊᖅ ᐅᖓᑖᓄᓪᓘᓐᓃᑦ ᓴᖅᑭᑦᑑᕐᓂᖅ)

575.7%24.3%

843.8%56.2%

1026.4%73.6%

147.1%92.9%

200.4%99.6%

37≈ 0%≈ 100%

p(ᓴᖅᑭᑦᑑᙱᓐᓂᖅ) = 37! / ((37 − k)! · 37ᵏ).

ᓱᒻᒪᑦ ᐱᙳᐊᕐᕕᒻᒥ ᐱᒻᒪᕆᐅᕙ

ᐊᔪᒐᐅᑎᑦ ᓇᓗᓇᐃᖅᑯᑎᖏᑦ ᑭᖑᓪᓕᖅᐹᓂᒃ 20 ᓈᓴᐅᑎᓂᒃ ᑕᑯᑎᑦᓯᔪᑦ ᖃᓂᒋᔭᖓ ᑕᒪᐃᓐᓂ ᐊᑕᐅᑦᑎᐊᕐᒥᒃ ᐅᖓᑖᓄᓪᓘᓐᓃᑦ ᓴᖅᑭᑦᑑᕐᓂᕐᒥᒃ ᑕᑯᑎᑦᓯᓂᐊᖅᑐᑦ, ᐊᑲᐅᓪᓗ ᒪᕐᕉᓂᒃ ᐅᕝᕙᓘᓐᓃᑦ ᐱᖓᓱᓂᒃ. ᐱᙳᐊᖅᑏᑦ ᑕᑯᔪᑦ “17 ᒪᕐᕉᕆᐊᖅᓗᒍ ᓴᖅᑭᑦᑐᖅ ᖁᓕᓂ ᑲᐃᕙᕐᓂᓂ”, ᐃᓱᒪᓕᐅᖅᑐᓪᓗ 17 ᐆᓇᖅᑐᖅ ᓈᓴᐅᑎᐅᓂᖓᓂᒃ; ᐃᓅᓪᓗᐊᑦᑕᕐᕕᒃ ᓈᓴᐃᓂᖓ ᐅᖃᖅᑐᖅ ᖁᓕᓂ ᑲᐃᕙᕐᓂᓂ ᓴᖅᑭᑦᑑᕐᓂᖅ 74%-ᖓᓂ ᐃᒪᐃᓐᓂᖅᐸᒻᒪᑦ, ᓴᖅᑭᑦᑑᖅᑐᓗ ᓈᓴᐅᑎ ᐱᔪᓐᓇᕐᓂᒃᑯᑐᐃᓐᓇᖅ ᓇᓚᐅᑦᑖᖅᑕᐅᔪᖅ. ᐱᐅᓯᖅ ᓱᓕᔪᖅ; ᑐᑭᖓ ᓱᓕᙱᑦᑐᖅ.

k ᑲᐃᕙᕐᓃᑦ ᑭᖑᓪᓗᒋᑦ ᓈᓴᐅᑎ ᓴᖅᑭᑦᑑᖅᓯᒪᓂᐊᕐᓂᖓᓄᑦ ᐱᔪᓐᓇᕐᓂᖅ%

4 ᑲᐃᕙᕐᓃᑦ

16%

6 ᑲᐃᕙᕐᓃᑦ

36%

8 ᑲᐃᕙᕐᓃᑦ

56%

10 ᑲᐃᕙᕐᓃᑦ

74%

14 ᑲᐃᕙᕐᓃᑦ

93%

20 ᑲᐃᕙᕐᓃᑦ

99.6%

049.8099.6%

ᕉᓚᑦ: ᐊᔪᒐᐅᑎᑦ ᓇᓗᓇᐃᖅᑯᑎᖏᓐᓂᒃ ᐅᖃᓕᒫᕐᓂᖅ

ᑐᓪᓕᐊ ᐊᐱᖅᑯᑎ

ᑲᐃᕙᕐᓃᑦ ᖃᑦᓯᐅᔪᑦ ᐱᔭᕆᐊᖃᖅᐸᑦ ᓈᓴᐅᑎ ᐊᑕᐅᓯᐊᖅ, ᐆᑦᑐᕋᐅᑎᒋᓗᒍ 17, ᒪᕐᕉᕆᐊᖅᓗᒍ ᓴᖅᑭᓯᒪᓂᐊᖅᑎᓪᓗᒍ? ᐊᐱᖅᑯᑎ ᐊᔾᔨᒋᙱᑦᑐᖅ, ᑭᐅᔾᔪᑎᖓᓗ ᐊᖏᓂᖅᓴᐅᓪᓚᕆᒃᑐᖅ: ᓂᕆᐅᒋᔭᐅᔪᖅ ᐅᑕᖅᑭᓂᖅ 74 ᑲᐃᕙᕐᓃᑦ, 20 ᑲᐃᕙᕐᓂᓂᓗ 17-ᒃ ᒪᕐᕉᒃ ᓴᖅᑭᓂᐊᕐᓂᖏᓐᓄᑦ ᐱᔪᓐᓇᕐᓂᖅ ᖃᓂᒋᔭᖓ 10%. “ᓈᓴᐅᑎ ᓇᓪᓕᐊᑐᐃᓐᓇᖅ ᓴᖅᑭᑦᑑᖅᑐᖅ” (8 ᑲᐃᕙᕐᓃᑦ) “ᐅᓇᓗ ᓈᓴᐅᑎ ᓴᖅᑭᑦᑑᖅᑐᖅ” (74 ᑲᐃᕙᕐᓃᑦ) ᐊᔾᔨᒌᙱᓐᓂᖏᑦ ᑕᒪᓐᓇᑐᐊᖑᔪᖅ: ᐱᐅᓯᖅ ᑭᖑᓂᐊᒍᑦ ᖃᐅᔨᒪᔭᐅᔪᖅ, ᓇᓚᐅᑦᑖᕐᓂᕐᓗ ᓯᕗᓂᐊᒍᑦ ᐅᖃᐅᓯᐅᔪᖅ.

ᐆᑦᑐᕐᓗᒍ

ᐆᑦᑐᕋᐅᑎ ᐱᙳᐊᕐᓂᖅ ᖁᓕᓂ ᑲᐃᕙᕐᓂᓂ ᐱᒋᐊᕐᓗᒍ, ᑕᐃᒪᓗ ᐱᐅᓯᑐᖃᖓ ᑕᑯᓗᒍ. ᐊᑐᖅᑕᐅᒐᔪᒃᑐᖅ ᓴᖅᑭᑦᑑᕐᓂᖃᕐᓂᐊᖅᑐᖅ. ᐱᒋᐊᖅᑭᓪᓗᒍ. ᓴᖅᑭᑦᑑᖅᑐᖅ ᓈᓴᐅᑎ ᐊᔾᔨᒋᙱᑦᑐᐅᓂᐊᖅᑐᖅ. ᖁᓕᓂ ᐃᒪᐃᓕᐅᕈᕕᑦ ᐃᓅᓪᓗᐊᑦᑕᕐᕕᒃ ᐊᐱᖅᑯᑎᓈᓴᐃᓂᖅᐃᓅᓪᓗᐊᑦᑕᕐᕕᒃ ᐊᐱᖅᑯᑎᖃᔅᓯᑦ ᐃᓄᐃᑦ ᐱᔭᕆᐊᖃᖅᐸᑦ ᒪᕐᕉᒃ ᐃᓅᓪᓗᐊᑦᑕᕐᕕᖃᑎᒌᒃᑐᓴᐅᓕᖁᓪᓗᒋᒃ, ᐅᕝᕙᓘᓐᓃᑦ ᖃᔅᓯᑦ ᑲᐃᕙᕐᓃᑦ ᓈᓴᐅᑎ ᐅᑎᖅᑐᓴᐅᓕᖁᓪᓗᒍ. 37-ᓂᒃ ᐃᓂᓕᒻᒥ ᐊᒃᓴᓗᐊᕐᒥ, 8 ᑲᐃᕙᕐᓃᑦ ᓇᒻᒪᒃᑐᑦ ᐱᔪᓐᓇᕐᓂᖅ ᕿᑎᐊᓂᑦ ᐅᖓᑖᓄᑦ ᐱᓗᐊᖁᓪᓗᒍ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᑕᑯᓯᒪᓕᖅᑕᑎᑦ; ᑕᐅᓴᓐᓂ ᐃᒪᐃᓕᐅᕈᕕᑦ (ᐊᔾᔨᐅᖅᑕᐅᑏᑦ ᐃᒪᐃᓕᐅᕈᓐᓇᖅᑐᑦ) ᓈᓴᖅᓯᒪᓕᖅᑕᑎᑦ.

ᓈᓴᐅᑎᓕᐅᕈᑎ

p(k-ᒥ ᓴᖅᑭᑦᑑᙱᓐᓂᖅ) = Π (38 − i)/37, i = 1…k

p(ᓴᖅᑭᑦᑑᕐᓂᖅ) = 1 − p(ᓴᖅᑭᑦᑑᙱᓐᓂᖅ)

ᐊᐱᖅᑯᑏᑦ

ᐅᓇ ᐃᓅᓪᓗᐊᑦᑕᕐᕕᒃ ᑐᑭᓯᓇᙱᑦᑐᒥᑦ ᐊᔾᔨᒌᒃᐸ?

ᐄ, ᓱᓕᓪᓚᕆᒃᑐᒥᒃ, 37 ᐃᓂᑦ 365 ᐅᓪᓘᑉ ᐊᓯᐊᓂ. 23 ᐃᓄᐃᑦ ᐃᓅᓪᓗᐊᑦᑕᕐᕕᖏᓐᓄᑦ 50%-ᒥᒃ ᑐᓂᓯᔪᑦ; 8 ᑲᐃᕙᕐᓃᑦ ᐊᒃᓴᓗᐊᕐᒧᑦ 56%-ᒥᒃ ᑐᓂᓯᔪᑦ.

ᐊᔾᔨᒌᒃᑐᑦ ᓈᓴᐅᑏᑦ ᐱᖓᓱᑦ ᖃᓄᐃᑦᑐᐊ?

50% ᖃᓂᒋᔭᖓ 19 ᑲᐃᕙᕐᓃᑦ ᑭᖑᓪᓗᒋᑦ. ᓱᓕ ᐃᒪᐃᓐᓂᖅᐸᒃᑐᖅ.

ᓴᖅᑭᑦᑑᕐᓂᖅ ᓴᖑᓯᒪᓂᕐᒥᒃ ᑕᑯᑎᑦᓯᕙ?

ᐋᒃᑲ. ᑕᐅᓴᓐᑦ ᑲᐃᕙᕐᓃᑦ ᐊᑕᐅᓯᕐᒥᑦ ᐊᒃᓴᓗᐊᕐᒥᑦ ᑕᑯᑎᑦᓯᔪᓐᓇᖅᑐᑦ; ᓴᖅᑭᑦᑑᕐᓂᖅ ᑕᑯᑎᑦᓯᓐᓇᔾᔭᙱᑦᑐᖅ.

ᓈᓴᐃᓂᕐᒥᒃ ᐱᙳᐊᕐᓂᖅ

ᓯᕗᓪᓕᐅᓪᓗᓂ ᐃᓕᖕᓂᒃ ᐆᒃᑐᕐᓗᑎᑦ. ᑭᐅᔾᔪᑏᑦ ᐃᓗᓕᖏᑦ ᒪᑐᔭᐅᓯᒪᔪᑦ; ᐅᐸᒍᓐᓇᕈᕕᑦ ᒪᑐᐃᖅᓯᓗᒍ.

ᐊᔪᒐᐅᑎᑦ ᓇᓗᓇᐃᖅᑯᑎᖏᑦ ᐊᒥᐊᓕᑲ ᐊᒃᓴᓗᐊᖓᑕ ᓴᓂᐊᓂ ᑭᖑᓪᓕᖅᐹᓂᒃ 16 ᑲᐃᕙᕐᓃᓂᒃ ᑕᑯᑎᑦᓯᔪᑦ. ᖃᓄᑎᒋ ᐱᔪᓐᓇᕐᓂᖃᖅᐸ ᓈᓴᐅᑎ ᓇᓚᐅᑦ ᒪᕐᕉᕆᐊᖅᓗᒍ ᓴᖅᑭᙱᓐᓂᖓ?
ᑭᐅᔾᔪᑎ ᑕᑯᓗᒍ
ᑭᐅᔾᔪᑎ 2.5% ᖃᓂᒋᔮᓂ: 40-ᓂ 39 ᖃᓂᒋᔮᓂ ᓇᓗᓇᐃᖅᑯᑎᑦ ᐊᑕᐅᓯᕐᒥᒃ ᐅᕝᕙᓘᓐᓃᑦ ᐅᖓᑖᓄᑦ ᐱᒋᐊᖅᑭᔪᒥᒃ ᑕᑯᑎᑦᓯᔪᑦ.
ᑲᐃᕙᕐᓂᖅ ᑲᐃᕙᕐᓂᕐᒧᑦ ᐊᐅᓚᓗᑎᑦ. ᓯᕗᓪᓕᖅ ᑲᐃᕙᕐᓂᖅ ᓱᓇᑐᐃᓐᓇᐅᔪᓐᓇᖅᑐᖅ. ᒪᕐᕉᖓ ᐊᔾᔨᒋᔭᕆᐊᖃᙱᑦᑐᖅ: 38-ᓂ 37 ᐱᔪᓐᓇᕐᓂᖏᑦ. ᐱᖓᔪᐊᖓ ᒪᕐᕉᖕᓂᒃ ᐊᔾᔨᒋᔭᕆᐊᖃᙱᑦᑐᖅ: 38-ᓂ 36. ᖁᓕᑦ ᐱᖓᓲᔪᖅᑐᖓ ᖁᓕᑦ ᑕᓪᓕᒪᓂᒡᓗ ᓈᓴᐅᑏᓂᒃ ᐊᔾᔨᒋᔭᕆᐊᖃᙱᑦᑐᖅ: 38-ᓂ 23.
ᐅᑯᒪᐃᒋᐊᖅᓯᓗᒋᑦ: 38/38 × 37/38 × 36/38 × … × 23/38 ≈ 0.0246.
ᓇᓗᓇᐃᖅᑯᑎᑦ ᐱᒋᐊᖅᑭᔪᖃᙱᑦᑐᑦ ᖃᑦᓯᐊᕈᑦᑐᑦ. ᓇᓗᓇᐃᖅᑯᑎᑦ ᐱᒋᐊᖅᑭᔪᓕᒃ ᐊᒃᓴᓗᐊᕐᒥᒃ ᓱᓇᒥᒃ ᐅᖃᐅᓯᖃᙱᑦᑐᑦ.
ᐃᐅᕌᐸ ᐊᒃᓴᓗᐊᖓᑕ ᖁᓕᓂ ᑲᐃᕙᕐᓃᓂ, ᖃᓄᑎᒋ ᐱᔪᓐᓇᕐᓂᖃᖅᐸ 17 ᑕᓪᓕᒪᕆᐊᖅᓗᒍ ᓴᖅᑭᓪᓗᐊᑕᕐᓂᖓ? ᓈᓴᐅᑎ ᑭᓱᑐᐃᓐᓇᖅ ᑕᓪᓕᒪᕆᐊᖅᓗᒍ ᐅᕝᕙᓘᓐᓃᑦ ᐅᖓᑖᓄᑦ ᓴᖅᑭᓂᖓ? ᓈᓴᐅᑎᓗ ᑭᓱᑐᐃᓐᓇᖅ ᓯᑕᒪᓂ ᑲᐃᕙᕐᓃᓂ ᐱᖓᓱᕆᐊᖅᓗᒍ ᐅᕝᕙᓘᓐᓃᑦ ᐅᖓᑖᓄᑦ ᓴᖅᑭᓂᖓ?
ᑭᐅᔾᔪᑎ ᑕᑯᓗᒍ
ᑭᐅᔾᔪᑎ 17 ᑕᓪᓕᒪᕆᐊᖅᓗᒍ ᓴᖅᑭᓪᓗᐊᑕᕐᓂᖓ: 315,576-ᓂ 1. ᓈᓴᐅᑎ ᑭᓱᑐᐃᓐᓇᖅ ᑕᓪᓕᒪᕆᐊᖅᓗᒍ ᐅᕝᕙᓘᓐᓃᑦ ᐅᖓᑖᓄᑦ: 8,333-ᓂ 1 ᖃᓂᒋᔮᓂ. ᓈᓴᐅᑎ ᑭᓱᑐᐃᓐᓇᖅ ᐱᖓᓱᕆᐊᖅᓗᒍ ᐅᕝᕙᓘᓐᓃᑦ ᐅᖓᑖᓄᑦ ᓯᑕᒪᓂ ᑲᐃᕙᕐᓃᓂ: 349-ᓂ 1.
17 ᑕᓪᓕᒪᕆᐊᖅᓗᒍ: ᖁᓕᓂ ᑲᐃᕙᕐᓃᓂ ᓇᓕᐊᑦ ᑕᓪᓕᒪᑦ ᓂᕈᐊᕐᓗᒋᑦ, 252 ᐱᓯᒪᓂᐅᕙᑦ, ᑕᒪᒃᑭᑦ (1/37)⁵ × (36/37)⁵ ᐱᔪᓐᓇᕐᓂᖃᖅᑐᑦ. ᑲᑎᓪᓗᒋᑦ, 315,576-ᓂ 1.
ᓈᓴᐅᑎ ᑭᓱᑐᐃᓐᓇᖅ: 37 ᓈᓴᐅᑏᑦ ᑕᒪᒃᑭᑦ 308,325-ᓂ 1 ᐱᔪᓐᓇᕐᓂᖃᖅᑐᑦ ᑕᓪᓕᒪᕆᐊᖅᓗᒍ ᐅᕝᕙᓘᓐᓃᑦ ᐅᖓᑖᓄᑦ ᓴᖅᑭᓂᕐᒧᑦ, ᑕᐃᒪ 308,325-ᓂ 37, 8,333-ᓂᓘᓐᓃᑦ 1. ᒪᕐᕉᒃ ᓈᓴᐅᑏᒃ ᑕᒪᕐᒥᒃ ᑕᓪᓕᒪᕆᐊᖅᓗᒍ ᓴᖅᑭᓂᖏᒃ ᖃᑦᓯᐊᕈᑦᑐᖅ ᒪᕐᕉᕆᐊᖅᓗᒍ ᓈᓴᖅᑕᐅᔪᖅ, ᐲᖅᑕᐅᒍᓂᓕ ᑕᒪᑐᒥᖓ ᓱᓕᑦᑎᐊᕐᓂᖓᓂ ᓱᓇᒥᒃ ᐊᓯᑦᑐᖅᓯᙱᑦᑐᖅ.
ᓯᑕᒪᓂ ᑲᐃᕙᕐᓃᓂ ᐱᖓᓱᕆᐊᖅᓗᒍ: ᐊᑕᐅᓯᕐᒧᑦ ᓈᓴᐅᑎᒧᑦ, 4 × 36 + 1 = 145 37⁴ ᐃᓱᓕᑦᑎᓂᐅᔪᓐᓇᖅᑐᓂᑦ; 37 ᓈᓴᐅᑏᑦ ᓇᓕᐊᖓᓄᑦ, 145/37³ = 349-ᓂ 1.
ᒪᕐᕉᒃ ᓯᕉᐊᒃᓴᓗᐊᖅᓯᕉᐊᑕᐅᓯᖅ ᐅᔾᔪᐊᕌᔭᒃ ᐃᓂ ᐊᔾᔨᒌᒃᑐᒥᒃ ᐊᑭᓕᐅᑎᓕᖕᓄᑦ, ᑕᓴᓐᓄᑦ ᓇᑉᐸᖅᑐᓄᓪᓘᓐᓃᑦ ᐱᙳᐊᕈᑏᑦ ᐃᓚᐅᑎᙱᑕᖓ; ᑳᓯᓅᑉ ᐃᓚᖓᑕ ᐱᓇᓪᓗᑎᖓ. ᐊᓯᐊᓂ ᐊᑎᖏᑦ: ᐊᑕᐅᓯᖅ ᓯᕉ, 0.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐊᒃᓴᓗᐊᖓᓄᑦ, ᐊᔾᔨᖏᑦ ᓈᓴᐅᑏᑦ 359,275-ᓂ 1, 9,243-ᓂ 1 ᐊᒻᒪ 368-ᓂ 1. “17” ᐊᒻᒪ “ᓈᓴᐅᑎ ᑭᓱᑐᐃᓐᓇᖅ” ᐊᔾᔨᒌᙱᓐᓂᖏᑦ ᐃᓅᓪᓗᐊᑦᑕᕐᕕᒃ ᐊᐱᖅᑯᑎᐅᒥᔪᖅᓈᓴᐃᓂᖅᐃᓅᓪᓗᐊᑦᑕᕐᕕᒃ ᐊᐱᖅᑯᑎᖃᔅᓯᑦ ᐃᓄᐃᑦ ᐱᔭᕆᐊᖃᖅᐸᑦ ᒪᕐᕉᒃ ᐃᓅᓪᓗᐊᑦᑕᕐᕕᖃᑎᒌᒃᑐᓴᐅᓕᖁᓪᓗᒋᒃ, ᐅᕝᕙᓘᓐᓃᑦ ᖃᔅᓯᑦ ᑲᐃᕙᕐᓃᑦ ᓈᓴᐅᑎ ᐅᑎᖅᑐᓴᐅᓕᖁᓪᓗᒍ. 37-ᓂᒃ ᐃᓂᓕᒻᒥ ᐊᒃᓴᓗᐊᕐᒥ, 8 ᑲᐃᕙᕐᓃᑦ ᓇᒻᒪᒃᑐᑦ ᐱᔪᓐᓇᕐᓂᖅ ᕿᑎᐊᓂᑦ ᐅᖓᑖᓄᑦ ᐱᓗᐊᖁᓪᓗᒍ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ →: 37 ᐱᓯᒪᓂᐅᕙᑦ ᑕᑲᐅᔾᔨᓐᓂᕐᒧᑦ.

ᐃᓪᓗᕐᓇᖅᑐᖅ ᐊᔾᔨᓕᐊᖅ

$ᓱᓇᑐᐃᓐᓇᖅ ᓱᒃᑲᐃᑦᑐᒥᒃ ᓴᖅᑭᑦᑑᖅᑐᖅ. ᑕᒪᓐᓇ ᓱᓇᑐᐃᓐᓇᖅ ᐱᔪᓐᓇᕐᓂᒃᑯᑐᐃᓐᓇᖅ.$

ᓱᓇᑐᐃᓐᓇᖅ ᓱᒃᑲᐃᑦᑐᒥᒃ ᓴᖅᑭᑦᑑᖅᑐᖅ. ᑕᒪᓐᓇ ᓱᓇᑐᐃᓐᓇᖅ ᐱᔪᓐᓇᕐᓂᒃᑯᑐᐃᓐᓇᖅ.

ᐱᕝᕕᒋᔭᐅᔪᑦ

Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, 3-ᖓ ᓴᖅᑭᑎᑕᐅᓂᖓ, 1968. ᑮᓇᐅᔭᓂᒃ ᐱᙳᐊᖅᑎᐅᑉ ᐃᓘᓐᓇᐃᓪᓗ ᐊᓯᐅᔾᔨᓂᖓ, ᐃᓚᖓ XIV.
Wizard of Odds. “Ask the Wizard”, roulette questions. ᓄᑖᙳᖅᑎᑕᐅᔪᖅ ᐋᒡᒌᓯ 3, 2026.

ᕿᒥᕐᕈᔭᐅᓚᐅᖅᑐᖅ 2026-09-28ᐊᔾᔨᐅᖅᑕᐅᑎ: ᐃᐅᕌᐸ, ᐊᑕᐅᓯᖅ ᓯᕉᖃᓄᖅ ᓈᓴᐃᓂᖅ ↗ᐱᕝᕕᒋᔭᐅᔪᑦ ↗