100 POINTS PLEASE EXPLAIN HOW TO SOLVE FOR ROLLING A SUM OF 4 BEFORE ROLLING A SUM OF 7
To play this game, you roll two dice. If your total on the first roll is
or
points, you win. If your total is
,
, or
points, you lose. If you get any other number (
,
,
,
,
, or
), that number becomes your point. You then continue to roll until your point comes up again or until a 7 comes up. If your point comes up before you roll a
, you win. If
comes up first, you lose. You ignore any outcomes that are not your point or
.

In pairs, play the game ten times. Record how many wins and losses your team has. Combine your information with other teams working on the problem. Are the results fairly even or were there many more wins or losses?

The game you have been playing is the basic dice game played in casinos worldwide. What is the probability of winning?