Probability Puzzle - Christmas Style [closed]
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In Knecht Ruprecht's cellar are six sealed bottles, all of which look the same. Three of the bottles contain good cider and the other three bottles contain highly poisonous lentil juice. Ruprecht's Magic Cider Test Machine (MCTM) has three compartments, a large button and a light bulb. If you place a bottle in each of the three compartments and then press the button, the MCTM starts to work. An hour later, the light bulb turns red or green: If it lights green, all three bottles contain good cider. If it shines red, not more than two bottles contain cider.
Knecht Ruprecht wants to give Santa Claus a bottle of cider. How often does he have to use the MCTM in the worst case to identify a guaranteed bottle of cider?
combinatorics puzzle
edited Dec 2 '18 at 19:42
Ross Millikan
293k23197371
asked Dec 2 '18 at 19:05
SandboxerSandboxer
31
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closed as off-topic by Jean-Claude Arbaut, NCh, Leucippus, DRF, Cesareo Dec 3 '18 at 10:09
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Jean-Claude Arbaut, NCh, Leucippus, DRF, Cesareo
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
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In Knecht Ruprecht's cellar are six sealed bottles, all of which look the same. Three of the bottles contain good cider and the other three bottles contain highly poisonous lentil juice. Ruprecht's Magic Cider Test Machine (MCTM) has three compartments, a large button and a light bulb. If you place a bottle in each of the three compartments and then press the button, the MCTM starts to work. An hour later, the light bulb turns red or green: If it lights green, all three bottles contain good cider. If it shines red, not more than two bottles contain cider.
Knecht Ruprecht wants to give Santa Claus a bottle of cider. How often does he have to use the MCTM in the worst case to identify a guaranteed bottle of cider?
combinatorics puzzle
edited Dec 2 '18 at 19:42
Ross Millikan
293k23197371
asked Dec 2 '18 at 19:05
SandboxerSandboxer
31
$endgroup$
closed as off-topic by Jean-Claude Arbaut, NCh, Leucippus, DRF, Cesareo Dec 3 '18 at 10:09
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Jean-Claude Arbaut, NCh, Leucippus, DRF, Cesareo
If this question can be reworded to fit the rules in the help center, please edit the question.
2
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What does this have to do with probability?
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– saulspatz
Dec 2 '18 at 19:07
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You have to find the number of times you need to identify a bottle of cider in the worst case, right? I don't see why you need probability.
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– Boshu
Dec 2 '18 at 19:10
2
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Did you try anything yourself?
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– Bram28
Dec 2 '18 at 19:15
add a comment |
$begingroup$
In Knecht Ruprecht's cellar are six sealed bottles, all of which look the same. Three of the bottles contain good cider and the other three bottles contain highly poisonous lentil juice. Ruprecht's Magic Cider Test Machine (MCTM) has three compartments, a large button and a light bulb. If you place a bottle in each of the three compartments and then press the button, the MCTM starts to work. An hour later, the light bulb turns red or green: If it lights green, all three bottles contain good cider. If it shines red, not more than two bottles contain cider.
Knecht Ruprecht wants to give Santa Claus a bottle of cider. How often does he have to use the MCTM in the worst case to identify a guaranteed bottle of cider?
combinatorics puzzle
edited Dec 2 '18 at 19:42
Ross Millikan
293k23197371
asked Dec 2 '18 at 19:05
SandboxerSandboxer
31
$endgroup$
In Knecht Ruprecht's cellar are six sealed bottles, all of which look the same. Three of the bottles contain good cider and the other three bottles contain highly poisonous lentil juice. Ruprecht's Magic Cider Test Machine (MCTM) has three compartments, a large button and a light bulb. If you place a bottle in each of the three compartments and then press the button, the MCTM starts to work. An hour later, the light bulb turns red or green: If it lights green, all three bottles contain good cider. If it shines red, not more than two bottles contain cider.
Knecht Ruprecht wants to give Santa Claus a bottle of cider. How often does he have to use the MCTM in the worst case to identify a guaranteed bottle of cider?
combinatorics puzzle
combinatorics puzzle
edited Dec 2 '18 at 19:42
Ross Millikan
293k23197371
asked Dec 2 '18 at 19:05
SandboxerSandboxer
31
edited Dec 2 '18 at 19:42
Ross Millikan
293k23197371
asked Dec 2 '18 at 19:05
SandboxerSandboxer
31
edited Dec 2 '18 at 19:42
Ross Millikan
293k23197371
edited Dec 2 '18 at 19:42
Ross Millikan
293k23197371
edited Dec 2 '18 at 19:42
Ross Millikan
293k23197371
293k23197371
asked Dec 2 '18 at 19:05
SandboxerSandboxer
31
asked Dec 2 '18 at 19:05
SandboxerSandboxer
31
asked Dec 2 '18 at 19:05
SandboxerSandboxer
31
31
closed as off-topic by Jean-Claude Arbaut, NCh, Leucippus, DRF, Cesareo Dec 3 '18 at 10:09
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Jean-Claude Arbaut, NCh, Leucippus, DRF, Cesareo
If this question can be reworded to fit the rules in the help center, please edit the question.
closed as off-topic by Jean-Claude Arbaut, NCh, Leucippus, DRF, Cesareo Dec 3 '18 at 10:09
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Jean-Claude Arbaut, NCh, Leucippus, DRF, Cesareo
If this question can be reworded to fit the rules in the help center, please edit the question.
2
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What does this have to do with probability?
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– saulspatz
Dec 2 '18 at 19:07
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You have to find the number of times you need to identify a bottle of cider in the worst case, right? I don't see why you need probability.
$endgroup$
– Boshu
Dec 2 '18 at 19:10
2
$begingroup$
Did you try anything yourself?
$endgroup$
– Bram28
Dec 2 '18 at 19:15
add a comment |
2
$begingroup$
What does this have to do with probability?
$endgroup$
– saulspatz
Dec 2 '18 at 19:07
$begingroup$
You have to find the number of times you need to identify a bottle of cider in the worst case, right? I don't see why you need probability.
$endgroup$
– Boshu
Dec 2 '18 at 19:10
2
$begingroup$
Did you try anything yourself?
$endgroup$
– Bram28
Dec 2 '18 at 19:15
2
2
$begingroup$
What does this have to do with probability?
$endgroup$
– saulspatz
Dec 2 '18 at 19:07
$begingroup$
What does this have to do with probability?
$endgroup$
– saulspatz
Dec 2 '18 at 19:07
$begingroup$
You have to find the number of times you need to identify a bottle of cider in the worst case, right? I don't see why you need probability.
$endgroup$
– Boshu
Dec 2 '18 at 19:10
$begingroup$
You have to find the number of times you need to identify a bottle of cider in the worst case, right? I don't see why you need probability.
$endgroup$
– Boshu
Dec 2 '18 at 19:10
2
2
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Did you try anything yourself?
$endgroup$
– Bram28
Dec 2 '18 at 19:15
$begingroup$
Did you try anything yourself?
$endgroup$
– Bram28
Dec 2 '18 at 19:15
add a comment |
1 Answer
1
active
oldest
votes
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I couldn't improve on ${6 choose 3}-1=19$. You don't have to try the last combination because if you haven't found the three good ones yet it must be that.
answered Dec 2 '18 at 19:46
Ross MillikanRoss Millikan
293k23197371
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add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
I couldn't improve on ${6 choose 3}-1=19$. You don't have to try the last combination because if you haven't found the three good ones yet it must be that.
answered Dec 2 '18 at 19:46
Ross MillikanRoss Millikan
293k23197371
$endgroup$
add a comment |
$begingroup$
I couldn't improve on ${6 choose 3}-1=19$. You don't have to try the last combination because if you haven't found the three good ones yet it must be that.
answered Dec 2 '18 at 19:46
Ross MillikanRoss Millikan
293k23197371
$endgroup$
add a comment |
$begingroup$
I couldn't improve on ${6 choose 3}-1=19$. You don't have to try the last combination because if you haven't found the three good ones yet it must be that.
answered Dec 2 '18 at 19:46
Ross MillikanRoss Millikan
293k23197371
$endgroup$
I couldn't improve on ${6 choose 3}-1=19$. You don't have to try the last combination because if you haven't found the three good ones yet it must be that.
answered Dec 2 '18 at 19:46
Ross MillikanRoss Millikan
293k23197371
answered Dec 2 '18 at 19:46
Ross MillikanRoss Millikan
293k23197371
answered Dec 2 '18 at 19:46
Ross MillikanRoss Millikan
293k23197371
answered Dec 2 '18 at 19:46
Ross MillikanRoss Millikan
293k23197371
293k23197371
add a comment |
add a comment |
2
$begingroup$
What does this have to do with probability?
$endgroup$
– saulspatz
Dec 2 '18 at 19:07
$begingroup$
You have to find the number of times you need to identify a bottle of cider in the worst case, right? I don't see why you need probability.
$endgroup$
– Boshu
Dec 2 '18 at 19:10
2
$begingroup$
Did you try anything yourself?
$endgroup$
– Bram28
Dec 2 '18 at 19:15