MHB How Many Rolls of Dice to Get Sum 12?

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To achieve a probability greater than 1/2 of rolling a sum of 12 with two dice, one must throw the dice multiple times. The discussion highlights the need for clarity in terminology, emphasizing that "dice" is the correct plural form of "die." Participants debate the grammatical accuracy of using "dices," reiterating that it is incorrect. The conversation briefly touches on the distribution of outcomes when rolling two dice. Overall, the focus remains on the probability of achieving a specific sum through repeated rolls.
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How many times do we need to throw 2 dices to get more than 1/2 probability that at least once the sum of the two dices will be 12.
 
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Mehrudin said:
How many times do we need to throw 2 dices to get more than 1/2 probability that at least once the sum of the two dices will be 12.

Well, what do you know about the distribution of "two dice"?
 
And my standard complaint: "dices" is a verb. "dice" is itself already plural- it is the plural of the word "die". You mean to say "two dice".
 
Country Boy said:
And my standard complaint: "dices" is a verb. "dice" is itself already plural- it is the plural of the word "die". You mean to say "two dice".

Same as "two shoes". Common usage.
 
No, it is not the same. "Two shoes", yes. "Shoes" is the plural of "shoe" But not "two dices" because "dice" is already plural. It should be "two dice".
 
Country Boy said:
No, it is not the same. "Two shoes", yes. "Shoes" is the plural of "shoe" But not "two dices" because "dice" is already plural. It should be "two dice".

Right. Dice is plural. Are you sure it's a grammar error from the OP and not just falling asleep on the keyboard?
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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