Probability Calculator
Kuphatikizapo zifukwa ziwiri zosagwirizana: ndi, kapena, kapena.
Zithunzizi zimasintha monga momwe mumalemba.
Zachidule
This probability calculator takes the chance of two independent events A and B and works out the key combined probabilities: both happening (A and B), at least one happening (A or B), only one of them, and neither happening. It assumes the events are independent, meaning one occurring does not change the chance of the other. Enter each probability as a percentage between 0 and 100.
The rules it applies are the standard ones for independent events: 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).
Worked 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%. These four outcomes always add up to 100%.
Mafunso ofunsidwa nthawi zambiri
Kodi ndingapeze kuthekera kwa zifukwa ziwiri onse kuchitika?
Kwa zochitika osati ogwirizana, multiplied zotheka awo: P (A ndi B) = P (A) · P (B). A 50% chitsanzo ndi 30% chitsanzo onse kuchitika ndi 0.5 × 0.3 = 0.15, kapena 15%.
Kodi ndi chiyani chimene chimatanthauza kuti ndi wodziyimira pawokha?
Independent amatanthauza kuti zotsatira za chikondwerero chimodzi alibe zotsatira pa ena - monga awiri osiyana coin flips. Ngati zikondwerero kukhudzana wina ndi mzake (ndi otengera), izi formulas sayenera kuchitidwa ndi inu muyenera conditional zotheka.
Kodi "A kapena B" imawerengedwa bwanji?
P (A kapena B) = P (A) + P (B) - P (A ndi B).Kuchotsa kuphatikizika kumaletsa zotsatira zogawana kuti ziwerengedwe kachiwiri, kotero zotsatira sizimapitilira 100%.
Kodi ndingapeze mwayi kuti palibe nkhaniyi chimachitika?
Kuwonjezera mwayi wa chilichonse nkhaniyi sichichitika: P (osati) = (1 - P (A)) × (1 - P (B)). kwa 50% ndi 30% nkhaniyi kuti ndi 0.5 × 0.7 = 0.35, kapena 35%.
Kodi pali kusiyana kotani pakati pa "A kapena B" ndi "mmodzi mwa iwo"?
"A kapena B" amaphatikizapo milandu yomwe imakhalapo, pomwe "mmodzi yekha" imachotsa. "Mmodzi yekha" ndi P (A kapena B) minus P (A ndi B), kuwerengetsa zotsatira ziwiri zokha-zokha koma sizogwirizana.
Kodi ngati zifukwa ziwirizi sizili zosiyana?
Ngati msonkhano wina amakhudza ena muyenera conditional kuthekera, P (A ndi B) = P (A) × P (B | A), ndi izi calculator adzamva kapena kukana kugwirizana mwayi.
Kodi izi zikhoza kuwonjezera mpaka kuposa 100%?
The four mutually exclusive outcomes — both, A only, B only and neither — always sum to exactly 100%. Individual figures like "A or B" can be large, but they never exceed 100% because the overlap is subtracted.
API — kugwiritsa ntchito izi calculator kuchokera code
Kuti mudziwe zambiri, pitani ku www.json.org/json.html. Kuti mudziwe zambiri, pitani ku www.json.org/json.html. Chomweko chilichonse chimene mumasiya chimagwiritsa ntchito mfundo yoyamba yomweyi yomwe tsambali limagwiritsa ntchito; mfundo yosadziwika ndi 400, siyiyenera kukhala zero yosadziwika. Onani zonse API docs →
Chithunzi
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);Zimenezi ndi zowerengera zokhudzana ndi malangizo amtundu uliwonse, si zokhudzana ndi ndalama, zamoyo kapena zokhudzana ndi ndalama.