Question

Question: Imagine that a family of three (Alice, Bill, and Charlie) are

playing a card game at home two nights in a row. The chance that any one
of them will win is 1/3. a.) Using A for Alice, B for Bill, and C for Charlie, what
are the outcomes for two consecutive nights of playing card. (Ex. AA
means Alice won the first night and the 2nd night) *

Answer 1

Answer: (AA, AB, AC, BA, BB, BC, CA, CB, CC)


Explanation: Since e are only looking at the outcomes, there are no numbers needed. However, it is worth noting that there 9 possible outcomes.

Also, it would be helpful to use a tree diagram on problems like this, which is simply a visual representation of the outcomes (aka sample space).