As you entered a casino, an oversized gold bowl containing four dice is presented to you. Pick one die, inspect it just to make sure it is the luckiest one, and then place a $100 chip in the bowl. The dealer will pick one from the remaining dice and modestly places a $100 into the bowl. Next, you and the dealer roll the respective dice. Whoever rolls higher number wins the two chips. Simple. To make the game interesting, the four dice are not the regular dice. While each die has six sides as usual, their faces are marked in unusual ways. One die, call it die A, has two 6’s and four 2’s. Another (die B) has three 5’s and three 1’s. The third one (die C) has four 4’s and two blank faces. The last one (die D) has six 3’s. The dice are not weighted that is, any face is as likely to land face up as any other. Since the game has recently been introduced, the Casino would like to promote the game. For a limited time (this an extremely rare event), the Casino allows the player (in this case, you) to select his/her die AFTER the dealer has selected his. So, the question is: What die do you select to increase your chance of winning the game?
As you entered a casino, an oversized gold bowl containing four dice is presented
to you. Pick one die, inspect it just to make sure it is the luckiest one, and then
place a $100 chip in the bowl. The dealer will pick one from the remaining dice
and modestly places a $100 into the bowl. Next, you and the dealer roll the
respective dice. Whoever rolls higher number wins the two chips. Simple.
To make the game interesting, the four dice are not the regular dice. While each
die has six sides as usual, their faces are marked in unusual ways.
One die, call it die A, has two 6’s and four 2’s. Another (die B) has three 5’s and
three 1’s. The third one (die C) has four 4’s and two blank faces. The last one (die
D) has six 3’s. The dice are not weighted that is, any face is as likely to land face up
as any other.
Since the game has recently been introduced, the Casino would like to promote
the game. For a limited time (this an extremely rare
player (in this case, you) to select his/her die AFTER the dealer has selected his. So, the question is:
What die do you select to increase your chance of winning the game?
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