Ihtimallyk Kalkülatory
Iki garaşsyz waka mümkinçiligini birleşdir: we, ýa-da, hiç biri.
Netijeler ýazýan wagtyň täzelener.
Bu hasapçy hakda
example, if the probability of two independent events A and B is 50%, then the probability of both events happening is 100%. The probability calculator uses the following rules: P(A and B) = P(A) × P(B); P(A or B) = P(A) + P(B) − P(A and B); P(neither) = (1 − P(A)) × (1 − P(B)); and "only A" is P(A) − P(A and B). A pie chart splits the sample space into the four mutually exclusive outcomes (both, A only, B only, neither).The work example: with P(A) = 50% and P(B) = 30%, both happen with probability 0.5 × 0.3 = 15%, at least one happens with probability 0.5 + 0.3 − 0.15 = 65%, and neither happens with probability 0.5 × 0.7 = 35%. This four outcomes always add up to 100%.Worked example: with P(A) = 50% and P(B) = 50% and P(B) = 30%, both happen with probability 0.5 × 0.3 = 15%, at least one happens with probability 0.5 × 0.5 × 0.15 = 65%, and neither happens with probability 0.5 × 0.7 = 35%. The work example: with P(A) = 50% and P(B) = 50% and P(B) = 50% and P(B) = 30% and P(B) = 30% and P(A) = 30% and P(B) = 30% and P(B) = 30% and P(A) = 30% and P(B) = 30% and P(B) = 30% and P(B) = 3
Köp soralýan soraglar
Men iki wakanyň ikisiniň hem bolup geçmek mümkinçiligini nädip tapyp bilerin?
Özbeginden bolan wakalar üçin, olary çarpyň: P(A we B) = P(A) · P(B). 50% waka we 30% waka ikisi hem 0.5 × 0.3 = 0.15, ýa 15%
Özbekistan
Özbeginden gaýd etmek bir wakanyň netijesi beýlekisine täsir etmeýändir - iki tapawutly pul atyş ýaly. Eger wakalar biri-birini täsir etseler (baglanyşly bolsalar), bu formulalar işlemez we size şertli mümkinçilikler gerek bolar.
"A ýa-da B" nädip hasaplanýar?
P(A or B) = P(A) + P(B) − P(A and B). Çykarmak öwürmek, paýlaşylan netije iki gezek hasaplanmaz, netije hiç wagt 100% öwer bolmaz.
Men nädip hiç bir wakanyň bolman galmagynyň mümkinçiligini tapyp bilerin?
Her bir wakanyň bolmajaklyk mümkinçiligini çarp: P(neither) = (1 − P(A)) × (1 − P(B)). 50% we 30% wakalar üçin bu 0.5 × 0.7 = 0.35, ýa 35%
"A ýa-da B" we "onlardan diňe biri" arasyndaky tapawut näme?
"A or B" ikisiniň hemmesiniň bolup geçýän ýagdaýyny içer, "only one" bolsa ony çykarýar. "Only one" P(A or B) minus P(A and B) deňdir, iki özüne çekiji-iki netijeleri hasaplaýar emma öwüşginleri däl.
Eger iki waka birbirinden tapawutlanmasa näme etmeli?
Bu formulalar özbaşdaklyk kabul edýärler. Eger bir waka beýlekisini täsir etse onda şertli mümkinçiliginiň zerurlygy bar, P(A we B) = P(A) × P(B | A), we bu hasapçy birleşik mümkinçilikleri aşak ýa-da ýokary görkezer.
Bu mümkinçilikler 100%'den köpelip bilermi?
Dört birbirini öçürýän netijeler - ikisi, diňe A, diňe B we hiç biri - her wagt dogry 100% goşýar. "A or B" ýaly şahsy rakamlar uly bolup biler, emma hiç wagt 100% öçürmez sebäbi gabat gelmek çykarylýar.
API — bu hasapçyny koddan ullan
Bu hasapçyny azat JSON ahtar noktasy hökmünde çagyr - açar gerek däl. Aşakdaky meýdança mykdarlaryny soragyň parametrleri ýa-da JSON hökmünde iber. Eňlisçe senedleri oka →
_Soňky
GET https://calculator.free/api/v1/probability/curl
curl "https://calculator.free/api/v1/probability/?pa=50&pb=30"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/probability/?" + new URLSearchParams({
"pa": "50",
"pb": "30"
}));
const data = await r.json();
console.log(data.results);Netijeler diňe umumy ýardam üçin hasaplanypdyr, maliýe, lukmançylyk ýa-da salgyt maslahaty üçin däl.