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You are given 50 white marbles, 50 black marbles and two jars. You need to put 100 marbles in these two jars. The jars will then be shaken & you will be asked to pick one marble from either jar. How would you distribute the marbles in two jars if you are to maximize the possibility of picking a white marble blind folded?
- a)25 white and 25 black in each
- b)1 White in one of the jars & remaining 99 in the other
- c)50 white in one & 50 black in the other
- d)All hundred in one
Correct answer is option 'B'. Can you explain this answer?
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You are given 50 white marbles, 50 black marbles and two jars. You nee...
Picking the options:
Option I; ½ × 25/50 + ½ × 25/50 = ½ .
Option II; ½ × 1 + ½ × 49/99 = > ½ .
Option III; ½ × 50/50 + ½ × 0/50 = ½ .
Option IV; ½ × 50/100 + ½ × 0 = ¼ .
Hence, the correct answer is option B.
Most Upvoted Answer
You are given 50 white marbles, 50 black marbles and two jars. You nee...
And you will randomly select one marble from one of the jars. What is the minimum number of marbles you must put in one of the jars to ensure that you have a greater than 50% chance of selecting a white marble?
The minimum number of marbles you must put in one of the jars to ensure that you have a greater than 50% chance of selecting a white marble is 1.
Here's how you can calculate this:
- If you put all 100 marbles in one jar, you have a 50/50 chance of selecting a white marble, since there are equal numbers of white and black marbles.
- If you put 99 marbles in one jar and 1 marble in the other jar, you have a 99% chance of selecting the jar with 99 marbles, and therefore a 99/100 chance of selecting a black marble.
- Therefore, if you put 1 marble in one jar and 99 marbles in the other jar, you have a 99% chance of selecting the jar with 99 marbles, and therefore a 99/100 chance of selecting a white marble.
So by putting just 1 marble in one of the jars, you ensure that you have a greater than 50% chance of selecting a white marble.
The minimum number of marbles you must put in one of the jars to ensure that you have a greater than 50% chance of selecting a white marble is 1.
Here's how you can calculate this:
- If you put all 100 marbles in one jar, you have a 50/50 chance of selecting a white marble, since there are equal numbers of white and black marbles.
- If you put 99 marbles in one jar and 1 marble in the other jar, you have a 99% chance of selecting the jar with 99 marbles, and therefore a 99/100 chance of selecting a black marble.
- Therefore, if you put 1 marble in one jar and 99 marbles in the other jar, you have a 99% chance of selecting the jar with 99 marbles, and therefore a 99/100 chance of selecting a white marble.
So by putting just 1 marble in one of the jars, you ensure that you have a greater than 50% chance of selecting a white marble.
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You are given 50 white marbles, 50 black marbles and two jars. You need to put 100 marbles inthese two jars. The jars will then be shaken & you will be asked to pick one marble fromeither jar. How would you distribute the marbles in two jars if you are to maximize the possibility of pickinga white marble blind folded?a)25 white and 25 black in eachb)1 White in one of the jars & remaining 99 in the otherc)50 white in one & 50 black in the otherd)All hundred in oneCorrect answer is option 'B'. Can you explain this answer?
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You are given 50 white marbles, 50 black marbles and two jars. You need to put 100 marbles inthese two jars. The jars will then be shaken & you will be asked to pick one marble fromeither jar. How would you distribute the marbles in two jars if you are to maximize the possibility of pickinga white marble blind folded?a)25 white and 25 black in eachb)1 White in one of the jars & remaining 99 in the otherc)50 white in one & 50 black in the otherd)All hundred in oneCorrect answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about You are given 50 white marbles, 50 black marbles and two jars. You need to put 100 marbles inthese two jars. The jars will then be shaken & you will be asked to pick one marble fromeither jar. How would you distribute the marbles in two jars if you are to maximize the possibility of pickinga white marble blind folded?a)25 white and 25 black in eachb)1 White in one of the jars & remaining 99 in the otherc)50 white in one & 50 black in the otherd)All hundred in oneCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for You are given 50 white marbles, 50 black marbles and two jars. You need to put 100 marbles inthese two jars. The jars will then be shaken & you will be asked to pick one marble fromeither jar. How would you distribute the marbles in two jars if you are to maximize the possibility of pickinga white marble blind folded?a)25 white and 25 black in eachb)1 White in one of the jars & remaining 99 in the otherc)50 white in one & 50 black in the otherd)All hundred in oneCorrect answer is option 'B'. Can you explain this answer?.
You are given 50 white marbles, 50 black marbles and two jars. You need to put 100 marbles inthese two jars. The jars will then be shaken & you will be asked to pick one marble fromeither jar. How would you distribute the marbles in two jars if you are to maximize the possibility of pickinga white marble blind folded?a)25 white and 25 black in eachb)1 White in one of the jars & remaining 99 in the otherc)50 white in one & 50 black in the otherd)All hundred in oneCorrect answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about You are given 50 white marbles, 50 black marbles and two jars. You need to put 100 marbles inthese two jars. The jars will then be shaken & you will be asked to pick one marble fromeither jar. How would you distribute the marbles in two jars if you are to maximize the possibility of pickinga white marble blind folded?a)25 white and 25 black in eachb)1 White in one of the jars & remaining 99 in the otherc)50 white in one & 50 black in the otherd)All hundred in oneCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for You are given 50 white marbles, 50 black marbles and two jars. You need to put 100 marbles inthese two jars. The jars will then be shaken & you will be asked to pick one marble fromeither jar. How would you distribute the marbles in two jars if you are to maximize the possibility of pickinga white marble blind folded?a)25 white and 25 black in eachb)1 White in one of the jars & remaining 99 in the otherc)50 white in one & 50 black in the otherd)All hundred in oneCorrect answer is option 'B'. Can you explain this answer?.
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