A First Course in Probability¶
Ross, S. M. (2010). A First Course in Probability. Pearson Prentice.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Complement
- Probability. \(P(A^c) = 1 - P(A)\); many problems are tractable only via the complement, as when "at least one" in a long list is computed as one minus the probability of "none."
This sourceStandard text giving the complement rule P(A^c) = 1 − P(A) and the 'at least one' = 1 − P(none) computation for independent trials. (
- Probability. \(P(A^c) = 1 - P(A)\); many problems are tractable only via the complement, as when "at least one" in a long list is computed as one minus the probability of "none."
- Union
- In probability it is the event \(A \cup B\) — "\(A\) or \(B\) occurs" — whose probability obeys \(P(A \cup B) = P(A) + P(B) - P(A \cap B)\), inclusion–exclusion again.
This sourceGives the addition rule P(A ∪ B) = P(A) + P(B) − P(A ∩ B), inclusion–exclusion for the probability of a union of events.
- In probability it is the event \(A \cup B\) — "\(A\) or \(B\) occurs" — whose probability obeys \(P(A \cup B) = P(A) + P(B) - P(A \cap B)\), inclusion–exclusion again.
Verification¶
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Does it back the claim? Not recorded. Neither this nor any other of the 2 citations of this work carries a recorded support check.
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Links previously used in the corpus¶
Before the registry existed this work was also linked 1 other way.
Registry ID ref:3e074ece947a · see in the full table