(Solved): The sample space and some collection of events of an experiment are: \[ \begin{array}{l} S=\{1,2,3, ...

The sample space and some collection of events of an experiment are: \[ \begin{array}{l} S=\{1,2,3,4,5,6,7,8,9,10,11,12,13,14\} \\ A=\{1,2,3,4,5,6,7\} \\ B=\{2,4,6,8,10,12\} \\ C=\{5,7,9,11,13\} \\ D=\{3,6,9\} \\ E=\{6,7,8,9,10,11,12,13\} \\ F=\{1,3,5,7\} \end{array} \] Assume that each outcome (element) is equally likely. Find the following probability: \( P(A \cap B \cap C \cap D \cap E \cap F)=? \) The sample space and some collection of events of an experiment are: \[ \begin{array}{l} S=\{1,2,3,4,5,6,7,8,9,10,11,12,13,14\} \\ A=\{1,2,3,4,5,6,7\} \\ B=\{2,4,6,8,10,12\} \\ C=\{5,7,9,11,13\} \\ D=\{3,6,9\} \\ E=\{6,7,8,9,10,11,12,13\} \\ F=\{1,3,5,7\} \end{array} \] Assume that each outcome (element) is equally likely. Find the following probability: \( P(A \cup B \cup C \cup D \cup E \cup F)=? \) The sample space and some collection of events of an experiment are: \[ \begin{array}{l} S=\{1,2,3,4,5,6,7,8,9,10,11,12,13,14\} \\ A=\{1,2,3,4,5,6,7\} \\ B=\{2,4,6,8,10,12\} \\ C=\{5,7,9,11,13\} \\ D=\{3,6,9\} \\ E=\{6,7,8,9,10,11,12,13\} \\ F=\{1,3,5,7\} \end{array} \] Assume that each outcome (element) is equally likely. Find the following probability: \( P(A \cap B)=? \) The sample space and some collection of events of an experiment are: \[ \begin{array}{l} S=\{1,2,3,4,5,6,7,8,9,10,11,12,13,14\} \\ A=\{1,2,3,4,5,6,7\} \\ B=\{2,4,6,8,10,12\} \\ C=\{5,7,9,11,13\} \\ D=\{3,6,9\} \\ E=\{6,7,8,9,10,11,12,13\} \\ F=\{1,3,5,7\} \end{array} \] Assume that each outcome (element) is equally likely. Find the following probability: \( P(A \cup B \cup D)=? \)