Dice numbering puzzle
James is having 2 dices.
Dice 1- is a normal dice numbered 1 to 6.
Dice 2- is also having 6 faces but with no numbers written on them .
He needs to mark numbers on that 2nd dice so that after throwing both dices simultaneously , all the numbers from 1 to 12 will have equal probability to occur.
How can he do it? and what will be the probability?
7,8,9,10,11,12 on second dice.if 9 reverse is not considered as six
We need to generate sum from 1 to 12
and probability of sum is asked……
Does it is specified.it says 1 to 12 to occur not 1 to 12 after adding up.remove that down vote as it was not critically obvious
the numbers can’t be marked randomly.
Probability will same if it is not about sum.even marked randomly.see carefully.question is expectng something else and is something else .i am just saying that .not meant to attack your ego.but
attach the cubes with a face on another some way. now it is a single cuboidal block . now throwing the block will reveal a number on top of marked dice.
label the unmarked dice with 12-number appeared on dice. repeat. the most distinct opposite faces ,and nearest faces of the dice follow the same rule.
1) To get 1, we require 0 in the other die.
2) Put 0 in 3 faces of the other die
3) To get 7,8,..,12 put 6 in the other 3 faces of the other die.
4) The equal probability of getting each number is (1*3)/36 = 1/12.
We can mark all the sides of the second sides with 0,0,0,0,0,6,
We have to get the numbers from 1 to 12 to be generated as sum of the no.s appearing on the dice.
By doing this , we get that:
1 -> (1,0)
2 -> (2,0)
3 -> (3,0)
4 -> (4,0)
5 -> (5,0)
6 -> (6,0)
7 -> (1,6)
8 -> (2,6)
9 -> (3,6)
10-> (4,6)
11-> (5,6)
12 -> (6,6)
Every no. has an equal probability of appearance as sum of the no. on the dice.
Probability:
Total combinations possible:
6C1 * 2C1 = 12
Probabilty= 1/12
Hope it helps!!
probability of getting 1, 2, 3, 4, 5, 6 = (1*5)/36 = 5/36
probability of getting 7, 8, 9, 10, 11, 12 = (1*1)/36 = 1/36
To avoid this unequal probability only, I have suggested to number 3 faces with 0 and 3 faces with 6!
Your Answer
More puzzles to try-
What is red and smells like blue paint?
What is red and smells like blue paint?Read More »Two Letters name
My name is two letters. You call many people by this name, but yet their first name is not this. ...Read More »Sakib Knows The Number!
Ragib: I got digits of a 2 digit number Sakib: Is it an odd? Ragib: Yes. Moreover, the sum of ...Read More »What was the president of the United State’s name in 1980?
What was the president of the United State’s name in 1980?Read More »Horse profit and loss puzzle
A man decides to buy a nice horse. He pays $60 for it, and he is very content with the ...Read More »Strange
When he left, he did not know where he was going; When he got there, he did not know where ...Read More »Not for reading or writing
Which type of paper can not be used whether for reading or for writing ?Read More »Coin game with devil riddle
you die and the devil says he’ll let you go to heaven if you beat him in a game. the ...Read More »Tattoo Artist\’s Shop
Outside a tattoo artist\’s shop, there was a signboard which read \’I make tattoos on only them who do not ...Read More »Write the next letter
Write the next letter in this sequence. O, T, T, F, F, S, S, E, __ **Hint: It is a ...Read More »Black when clean riddle
I am black when clean and white when dirty. What am I?Read More »Tennis Balls Puzzle
You are given four tennis balls and asked to arrange those balls in a manner that the distance between each ...Read More »Distance measuring tricky riddle
Distances from you to Man united is written below- CHELSEA and ARSENAL are 700 kms away SPURS 1800 kms away ...Read More »Not Real
I appear to be real but I am not, I am perfectly accurate but deceiving, I have no feelings or ...Read More »No flesh and blood riddle
He has Four fingers and a thumb, But no flesh and blood, Name the blond ?Read More »What is written in the image?
Can you read what is written in the image? Can you fry this puzzle in First attempt?Read More »Which way is the front of the bus facing Which way is the front of the bus facing?
This is a bus: ____________________ | |_| |_| |_| |_| | | | |____________________| O O Which way is the front of the bus ...Read More »100 pineapple in 9 packets puzzle
How can you put 100 pineapple in 9 packets with 10 in each packet?Read More »Bank Doubling the Amount Brain Teaser
You went to a bank near your newly possessed home. The bank’s policies are weird, but you decided to open ...Read More »Identify Me Riddle
Identify Me Hint1: I am a god Hint 2: I am a planet Hint 3: measurer of heatRead More »