Probability
Jammu & Kashmir Board · Class 12 · Mathematics
All formulas from Probability in Jammu & Kashmir Board Class 12 Mathematics. Key equations, constants, and identities for board exam preparation.
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2. Conditional Probability
P(E|F) = P(E ∩ F) / P(F), P(F) ≠ 0
P((A ∪ B)|F) = P(A|F) + P(B|F) - P((A ∩ B)|F)
P((A ∪ B)|F) = P(A|F) + P(B|F)
P(E'|F) = 1 - P(E|F)
3. Multiplication Rule
P(E ∩ F ∩ G) = P(E) P(F|E) P(G|EF)
4. Independent and Dependent Events
P(F|E) = P(F) and P(E|F) = P(E)
P(E ∩ F) = P(E) · P(F)
P(E ∩ F) ≠ P(E) · P(F)
P(A ∩ B) = P(A)P(B) for every pair of events from two experiments
P(A ∩ B) = P(A)P(B), P(A ∩ C) = P(A)P(C), P(B ∩ C) = P(B)P(C), and P(A ∩ B ∩ C) = P(A)P(B)P(C)
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