Can you save your life Puzzle?
You are a prisoner sentenced to death.
The Emperor offers you a last chance to live by playing a simple game.
GAME-
He gives you 50 black marbles, 50 white marbles and 2 empty bowls.
He then says, “Divide these 100 marbles into these 2 bowls. You can divide them any way you like as long as you use all the marbles. Then I will blindfold you and mix the bowls around. You then can choose one bowl and remove ONE marble. If the marble is WHITE you will live, but if the marble is BLACK you will die.”
How do you divide the marbles up so that you have the greatest probability of saving your life that is choosing a WHITE marble?
DUPLICATE – http://puzzlefry.com/puzzles/red-and-blue-marbles/
Say we put all the red marbles into JAR A and all the blue ones into JAR B. then our chances for picking a red one are:
1/2 chance we pick JAR A * 50/50 chance we pick a red marble
1/2 chance we pick JAR B * 0/50 chance we pick a red marble
You would try different combinations, such as 25 of each colored marble in a jar or putting all red marbles in one jar and all the blue in the other. You would still end up with a chance of 50%.
What if you put a single red marble in one jar and the rest of the marbles in the other jar? This way, you are guaranteed at least a 50% chance of getting a red marble (since one marble picked at random, doesn’t leave any room for choice). Now that you have 49 red marbles left in the other jar, you have a nearly even chance of picking a red marble (49 out of 99).
So the maximum probability will be :
jar A : (1/2)*1 = 1/2 (selecting the jar A = 1/2, red marble from jar A = 1/1)
jar B : (1/2)*(49/99) = 0 (selecting the jar B = 1/2, red marble from jar B = 49/99)
Total probability = 74/99 (~3/4)
Your Answer
More puzzles to try-
Sum of Squares
Can you find out the smallest number that can be conveyed as the sum of three squares in three unique ...Read More »Find h+a+t+e?
You +your = heart Then h+a+t+e=?where o is 4Read More »Is the square in the middle a perfect square?
Is the square in the middle a perfect square? Although it is a perfect square, the sides may appear to ...Read More »Farmer with bundles of hay tricky puzzle
A farmer has three fields. One of them has 3 bundles of hay, another has 4, and the last has ...Read More »Five Letter Word
Which five letter word can be added at the end of below word to form a valid word? > Pin ...Read More »SHEIKH’S INHERITANCE PUZZLE
An Arab sheikh tells his two sons to race their camels to a distant city to see who will inherit ...Read More »Word inside the riddle
What is the word inside the riddle ?Read More »Flour Selling puzzle
You are selling White Flour and have two measuring cups. Cup A of Flour Costs $30, Cup B of Flour ...Read More »The Electrician
An electrician has two two-way switches (single-pole, double-throw), a light bulb, and a power source. How should he connect the ...Read More »I carry you riddle
At first I am in pieces, but you build me and I carry you at night when you are tired ...Read More »Card Face Puzzle
A pack of cards has 40 cards. You are blindfolded. Out of 40, 25 cards are facing down while 15 ...Read More »How many trees riddle
In the local wood there are a number of trees. On these trees there are a number of birds. The ...Read More »New year party celebration puzzle
Mr Andrew wants to have a party on new year eve i.e. 1st of Jan, where he will be serving ...Read More »Completes the sequence riddle
2 9 3 1 8 4 3 6 5 7 _ What is the next term in this sequence?Read More »Help your pain
I have seven letters and am something you eat. My only anagram can help your pain. If you remove my ...Read More »Finding a counterfeit coin
You have 12 coins, 11 of which are the same weight and one counterfeit coin which has a different weight ...Read More »Polar Bear riddle
You are on holidays and wake up in the morning, stand up, and look South. You look to the left ...Read More »Alexander the Great and Winnie the Pooh
What does Alexander the Great and Winnie the Pooh have in common?Read More »Soccer Point Riddle
For Charity, five teams were competing where they face each other exactly once. After the tournament, the following is the ...Read More »Two men are facing each other and clock on the wall puzzle
Two men are facing each other alone in a large room. There is a clock on the wall. One man, ...Read More »
dougbell
This puzzle is a repeat of
http://puzzlefry.com/puzzles/red-and-blue-marbles-interview-puzzle
http://puzzlefry.com/puzzles/red-and-blue-marbles-2
http://puzzlefry.com/puzzles/red-and-blue-marbles
http://puzzlefry.com/search-questions/50+marbles
I don’t think a fifth copy of the same puzzle is useful.