Question

Suppose we toss a fair six-sided blue die once. Define the following events: . В 1,2,3 ·C= 1,2,3,4 E-the result is odd) . F-(the result is even) ·G-(the result is 3) (a) List all pairs of mutually exclusive events (b) List al pairs of events in which one is contained in the other (and indicate which is contained in which!) (c) List all pairs of equal events, and explain how you know that they are equal. (d) For each of the events below, indicate whether it is equal to sample space (S), the event (0), or neither: i. Both A and B occur ii. Either A occurs or B occurs iii. A and C and D occur together iv. A or C or D occur v. Both A and D occur vi. Both D and not C occur vii, Either E occurs or F occurs viii. Both E and F occur ix. Both D and F occur x. A and B and G occur together

Answer 1