Probability Calculator Online
Single aur combined events ki probability nikaalein — union, intersection aur conditional probability — seedhe apne browser mein.
Probability Calculator poori tarah aapke browser mein chalta hai. Aapke daale gaye probabilities aapke device par calculate hoti hain aur kabhi ArrayKit par upload nahi hoti.
Permutation & Combination Calculator kholein
Probability Calculator ke baare mein
Probability Calculator single aur combined events ki probability nikaalta hai, bina aapko formula haath se likhne ki zaroorat ke. Combined events mode mein P(A) aur P(B) daalein aur ye complement, intersection, union aur "neither" ki probability de deta hai, independent events (P(A ∩ B) = P(A) × P(B)) aur mutually exclusive events (P(A ∩ B) = 0) ke beech toggle karke. P(A ∩ B) aur P(B) se P(A | B) nikaalne ke liye Conditional mode par switch karein, jo Bayes' theorem ka core building block hai. Ye statistics students jo homework check kar rahe hain, teachers jo worked examples bana rahe hain, aur wo log jo do events ke saath, alag-alag, ya ek ke given doosra hone ki odds estimate kar rahe hain — sabke liye bana hai. Sab kuch aapke browser mein locally chalta hai — aapke daale gaye numbers kabhi upload nahi hote.
Features
- Combined events mode: P(A) aur P(B) daalein aur complement, union, intersection aur "neither" probability paayein
- Independent/mutually-exclusive toggle badalta hai ki P(A ∩ B) kaise nikala jaaye
- Conditional mode P(A | B) = P(A ∩ B) / P(B) calculate karta hai
- Har probability ko 0 aur 1 ke beech validate karta hai
- Ek galat P(A ∩ B) jo P(B) se zyada ho, use turant pakad leta hai
- Ek click mein poora result set ya ek single figure copy karein
- Type karte hi turant results — page reload nahi chahiye
- Poori tarah aapke browser mein chalta hai, koi probability kahin nahi bheji jaati
Probability Calculator kaise use karein
- Combined events ya Conditional mode chunein
- Known probabilities ko 0 aur 1 ke beech decimals mein daalein
- Combined events mein, toggle karein ki A aur B independent hain ya mutually exclusive
- Union, intersection, complement ya conditional result padhein
- Ek click mein result ya poora summary copy karein
Example
Input
P(A)=0.5, P(B)=0.5
Output
A∩B 0.25 · A∪B 0.75
Independent events: P(A ∩ B) = 0.5 × 0.5 = 0.25, isliye P(A ∪ B) = 0.5 + 0.5 − 0.25 = 0.75.
Common errors aur troubleshooting
- Probability Calculator 75 jaise value ke liye error dikhata hai. — Probabilities ko 0 aur 1 ke beech decimals mein daalein, percentage mein nahi — 75% ke liye 0.75 use karein, 75 nahi.
- Mutually exclusive par switch karne ke baad intersection zyada lag raha hai. — Mutually exclusive events ek saath nahi ho sakte, isliye us mode mein P(A ∩ B) 0 par force ho jaata hai. Agar events overlap kar sakte hain to independent par wapas jaayein.
- Conditional mode 'P(A ∩ B) cannot be greater than P(B)' dikhata hai. — P(A ∩ B) hamesha P(B) ka subset hota hai, isliye ye kabhi P(B) se zyada nahi ho sakta. Check karein ki kaunsi figure intersection hai aur kaunsi condition.
- P(A | B) undefined dikh raha hai. — Conditional probability P(B) se divide karti hai, isliye P(B) 0 se zyada hona chahiye. Aisi event par condition nahi laga sakte jo kabhi hoti hi nahi.
Aksar pooche jaane wale sawaal
- Probability Calculator kya calculate karta hai?
- Combined events mode mein ye do events A aur B ke liye P(not A), P(A ∩ B), P(A ∪ B) aur P(neither) deta hai. Conditional mode mein ye P(A | B) = P(A ∩ B) / P(B) deta hai.
- Probability Calculator independent aur mutually exclusive events ko kaise handle karta hai?
- 'A and B are independent' on karein taaki P(A ∩ B) = P(A) × P(B) use ho, ya off karein taaki A aur B mutually exclusive treat hon, jahan P(A ∩ B) = 0 aur P(A ∪ B) = P(A) + P(B) hota hai.
- Is calculator mein conditional probability kya hai?
- Conditional mode P(A | B) calculate karta hai, yaani A ki probability jab B pehle se ho chuka ho, formula P(A | B) = P(A ∩ B) / P(B) se.
- Probabilities 0 aur 1 ke beech kyun honi chahiye?
- Probability certainty ka ek fraction represent karti hai aur kabhi negative ya 1 (100%) se zyada nahi ho sakti. Probability Calculator is range se bahar koi bhi value reject kar deta hai.
- Kya Probability Calculator maine daale gaye numbers upload karta hai?
- Nahi. Sara calculation aapke browser mein locally hota hai. Aapke type kiye gaye probabilities kabhi aapke device se bahar nahi jaate aur ArrayKit ke servers par nahi bheje jaate.
- Kya main Probability Calculator ko un dependent events ke liye use kar sakta hoon jo mutually exclusive nahi hain?
- Combined events mode independence ya mutual exclusivity assume karta hai. General dependent intersection ke liye, Conditional mode use karein with known P(A ∩ B) aur P(B).
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