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Two dice are rolled. Let E be the event that the sum of
Chapter , Problem 5(choose chapter or problem)
Two dice are rolled. Let E be the event that the sum of the outcomes is odd and F be the event of at least one 1. Interpret the events EF, \(E^{c} F\), and \(E^{c} F^{c}\).
Questions & Answers
QUESTION:
Two dice are rolled. Let E be the event that the sum of the outcomes is odd and F be the event of at least one 1. Interpret the events EF, \(E^{c} F\), and \(E^{c} F^{c}\).
ANSWER:Step 1 of 4
The sample space of an experiment consists of all possible outcomes of the experiment.
We have given two dice are rolled, then all possible outcomes are as follows,
\((1,1)(1,2)(1,3)(1,4)(1,5)(1,6)\)
\((2,1)(2,2)(2,3)(2,4)(2,5)(2,6)\)
\((3,1)(3,2)(3,3)(3,4)(3,5)(3,6)\)
\((4,1)(4,2)(4,3)(4,4)(4,5)(4,6)\)
\((5,1)(5,2)(5,3)(5,4)(5,5)(5,6)\)
\((6,1)(6,2)(6,3)(6,4)(6,5)(6,6)\)