Two Dice Gamble
A and B play a game of dice with the following rules.
-
Two six sided dice with numbers 1 to 6 on their faces would be rolled simultaneously.
-
A Wins If the total on the two dice faces comes to 12 during the course of the game,
-
B Wins If the total on the two dice faces comes as 7 for two consecutive rolls. Eg : 6,1 in n-th throw and 5,2 in n+1-th throw.
-
The game is stopped once anyone wins.
Who is more likely to win the game.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
Sample space for A= case when 6 appears on both dice P(A)=1\36
Sample space for B:-
1222 =4 permutations
1231 =12 permutations
1411 =4 permutations
P(B)=20\36*36
Since P(A)>P(B)
So A has more chance of winning.