Three dice

The player throwing the three dice asked G. Galilei the question: "Should I bet on the sum of 11 or the sum of 12?" What did Galilei answer him?


Hint: write down all three triples of numbers that can be thrown and:
have a total of 11
have a total of 12

and compare probabilities.

Correct answer:

p₁₁ =  0.125
p₁₂ =  0.1157
v =  11

Step-by-step explanation:

$$\begin{gathered} p_{11}>p_{12} \\ v=11 \end{gathered}$$

Try another example

Related math problems and questions:

• Sum of fall dices
  What is the probability that the sum of 9 will fall on a roll of two dice? Hint: write down all the pairs that can occur as follows: 11 12 13 14 15. . 21 22 23 24. .. . 31 32. .. . . . . . .. . 66, count them, it's the variable n variable m: 36, 63,. .. .
• Sum or product
  What is the probability that two dice fall will have the sum 7 or product 12?
• Sum on dice
  We have two dice. What is the greater likelihood of fall a total sum 7 or 8 ? (write 7, 8 or 0 if the probabilities are the same)?
• Six on dice
  What is the probability that when throwing two dice will fall at least one six?
• Fall sum or same
  Find the probability that if you roll two dice, it will fall the sum of 10, or the same number will fall on both dice.
• Dices
  We will throw two dice. What is the probability that the ratio between numbers on first and second dice will be 1:2?
• The dice
  What is the probability of events that if we throw a dice is rolled less than 6?
• Three dice
  What is the probability that when we roll three dice, we roll the numbers 1,2,3?
• Roll the dice
  What is the probability that if we roll the dice, a number less than 5 falls?
• Two dice
  We roll two dice. What is the probability that the sum of the falling numbers is greater than 3?
• Sum 10
  What is the probability that two dice throw twice in a row will result the sum of 10?
• Dice
  How many times must throw the dice, the probability of throwing at least one six was greater than 90%?
• One three
  We throw two dice. What is the probability that max one three falls?
• Throw
  We throw 2 times with 2 dices. What is the probability that the first roll will fall more than sum of 9 and the second throw have sum 3 or does not have the sum 4?
• We roll
  We roll two dice A. - what is the probability that the sum of the falling numbers is at most 4 B. - is at least 10 C. - is divisible by 5?
• The dice
  Find the probability that a number divisible by two or three will fall when the dice are rolled.
• Three numbers
  We have three different non-zero digits. We will create all 3 digits numbers from them to use all 3 figures in each number. We add all the created numbers, and we get the sum of 1554. What were the numbers?