IB Docs (2) Team
Einführung Wahrscheinlichkeit
Events A and B are independent. Given that \({\textrm{P}}\left( {{\textrm{A}} \cup {\textrm{B}}} \right) = 0.48\) and \({\textrm{P}}\left( {\textrm{B}} \right) = 0.29\), find \({\textrm{P}}\left( {\textrm{A}} \right)\).
Events A and B are given such that \({\textrm{P}}\left( {\textrm{A}} \right) = \frac{2}{5}\) and \({\textrm{P}}\left( {{\textrm{A}} \cap {\textrm{B}}} \right) = \frac{2}{7}\). Given A and B are independent events, find \({\textrm{P}}\left( {{\textrm{A}} \cup {\textrm{B}}} \right)\).
Events A and B are independent. Given that \({\textrm{P}}\left( {{\textrm{A}} \cup {\textrm{B}}} \right) = 0.48\) and \({\textrm{P}}\left( {\textrm{B}} \right) = 0.29\), find \({\textrm{P}}\left( {\textrm{A}} \right)\).
Given that \({\textrm{P}}\left( {\textrm{A}} \right) = \frac{2}{5}\) and \({\textrm{P}}\left( {\textrm{B}} \right) = \frac{1}{3}\), find:
(a) \({\textrm{P}}\left( {{\textrm{A}} \cup {\textrm{B}}} \right)\) if A and B are mutually exclusive events;
(b) \({\textrm{P}}\left( {{\textrm{A}} \cap {\textrm{B}}} \right)\) if A and B are independednt events.
If A and B are independent events such that \({\textrm{P}}\left( {\textrm{A}} \right) = \frac{3}{4}\) and \({\textrm{P}}\left( {{\textrm{A}} \cap {\textrm{B}}} \right) = \frac{1}{2}\), find:
(a) \({\textrm{P}}\left( {\textrm{B}} \right)\);
(b) \({\textrm{P}}\left( {{\textrm{A}} \cup {\textrm{B}}} \right)\).
Given that \({\textrm{P}}\left( {\textrm{A}} \right) = \frac{2}{5}\) and \({\textrm{P}}\left( {\textrm{B}} \right) = \frac{1}{3}\), find:
(a) \({\textrm{P}}\left( {{\textrm{A}} \cup {\textrm{B}}} \right)\) if A and B are mutually exclusive events;
(b) \({\textrm{P}}\left( {{\textrm{A}} \cap {\textrm{B}}} \right)\) if A and B are independednt events.
If A and B are independent events such that \({\textrm{P}}\left( {\textrm{A}} \right) = \frac{3}{4}\) and \({\textrm{P}}\left( {{\textrm{A}} \cap {\textrm{B}}} \right) = \frac{1}{2}\), find:
(a) \({\textrm{P}}\left( {\textrm{B}} \right)\);
(b) \({\textrm{P}}\left( {{\textrm{A}} \cup {\textrm{B}}} \right)\).
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