Possible outcomes of an experiment grouped.
Events are usually labeled in capital letters.
Outcomes and events
Product sum game
Certain problems like the product sum game can have their permutations listed out in a table.
In the example of the Product sum game, the rules are, Player A and Player B have 3 numbers to choose from: {1,2,3}. If the sum of Player A’s number and Player B’s number is greater than the product of both, then Player A gains a point If the product of Player A’s number and Player B’s number is greater than the sum of both, then Player B gains a point
The tables are shown as such:
so, lets find which is bigger, sum or product?
for (1,1) the SUM. PLR A
(1,2): PLR A
(1,3): PLR A
(2,1): PLR A
(3,1): PLR A
(2,2): Nobody wins
(2,3): PLR B
(3,2): PLR B
(3,3): PLR B
5/9 is PLR A 3/9 is PLR B 1/9 is Nobody
Therefore the following conclusions can be make: Player A wins if either player draws a 1. Player B wins if no player draws a 1.