P(A|B): the share of B that is also AP(A|B): B का वह भाग जो A में भी हैP(A|B): B ka wo hissa jo A mein bhi hai

NCERT Definition 1 · Class 12 Maths · Chapter 13 · interactive diagram

Parts and what they mean

• Sample space S (प्रतिदर्श समष्टि S) — All outcomes of the experiment. Before any information, probabilities are shares of S.
• Event A (घटना A) — The event whose chance we want. Its part outside B no longer matters once B is given.
• Event B — the given event (घटना B — दी गई घटना) — We know B has happened, so B becomes the new sample space. We divide by P(B).
• A ∩ B (A ∩ B) — The part of B where A also happens — the favourable part. P(A|B) is this green piece as a share of the whole orange circle.
• Conditional probability (सप्रतिबंध प्रायिकता) — P(A|B) = \dfrac{P(A \cap B)}{P(B)}, provided P(B) \ne 0.

Original diagram drawn by Simple Learning Hub, based on NCERT Definition 1. Report a mistake