Consider the sample space formed when you flip a coin and then repeatedly roll a
ID: 3048788 • Letter: C
Question
Consider the sample space formed when you flip a coin and then repeatedly roll a die. If you flip heads, you roll a die 3 times, recording your rolls. If you flip tails, you roll a die 2 times, recording your rolls. (a) Define two events that are mutually exclusive of each other in this sample space. (b) Define two new events that are not mutually exclusive, but are not mathematically equivalent. (c) Using the mathematical definition of mutually exclusive events, demonstrate that the events you defined in part (b) are mutually exclusive.
Explanation / Answer
A) The event of flipping a heads and the event of flipping a tail are mutually exclusive.
B) The event of flipping a heads and then rolling dice to get 1 three times and the event of flipping a heads and then rolling a dive to get 2 three times