What is the probability that heads or tails shows twice in a row exactly once in the ten coin tosses [closed]












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What is the probability that heads or tails shows twice in a row exactly once in the ten coin tosses. I also want to understand the process followed to achieve it.










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closed as off-topic by RRL, bof, Xander Henderson, Did, José Carlos Santos Jan 22 at 8:32


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 provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – RRL, Xander Henderson, Did, José Carlos Santos

If this question can be reworded to fit the rules in the help center, please edit the question.












  • 1




    $begingroup$
    Can both the sequences HH and TT appear, or only one of them?
    $endgroup$
    – saulspatz
    Jan 22 at 2:32






  • 2




    $begingroup$
    See this. It is not exactly the same but it sounds like you two should work together.
    $endgroup$
    – John Douma
    Jan 22 at 2:36










  • $begingroup$
    Not sure exactly what "heads or tails shows twice in a row exactly once" means. What about TTHHTTHTTT? Heads shows twice in a row exactly once; does that count?
    $endgroup$
    – bof
    Jan 22 at 2:42










  • $begingroup$
    HH or TT. Anything can appear. But both should not appear. It is either HH or TT only once in the sequence
    $endgroup$
    – hari
    Jan 22 at 3:09










  • $begingroup$
    @bof The sequence you posted is not valid. It should be something like HHTHTHTHTH or THTHTHTHTT.
    $endgroup$
    – hari
    Jan 22 at 3:16
















-2












$begingroup$


What is the probability that heads or tails shows twice in a row exactly once in the ten coin tosses. I also want to understand the process followed to achieve it.










share|cite|improve this question









$endgroup$



closed as off-topic by RRL, bof, Xander Henderson, Did, José Carlos Santos Jan 22 at 8:32


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 provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – RRL, Xander Henderson, Did, José Carlos Santos

If this question can be reworded to fit the rules in the help center, please edit the question.












  • 1




    $begingroup$
    Can both the sequences HH and TT appear, or only one of them?
    $endgroup$
    – saulspatz
    Jan 22 at 2:32






  • 2




    $begingroup$
    See this. It is not exactly the same but it sounds like you two should work together.
    $endgroup$
    – John Douma
    Jan 22 at 2:36










  • $begingroup$
    Not sure exactly what "heads or tails shows twice in a row exactly once" means. What about TTHHTTHTTT? Heads shows twice in a row exactly once; does that count?
    $endgroup$
    – bof
    Jan 22 at 2:42










  • $begingroup$
    HH or TT. Anything can appear. But both should not appear. It is either HH or TT only once in the sequence
    $endgroup$
    – hari
    Jan 22 at 3:09










  • $begingroup$
    @bof The sequence you posted is not valid. It should be something like HHTHTHTHTH or THTHTHTHTT.
    $endgroup$
    – hari
    Jan 22 at 3:16














-2












-2








-2





$begingroup$


What is the probability that heads or tails shows twice in a row exactly once in the ten coin tosses. I also want to understand the process followed to achieve it.










share|cite|improve this question









$endgroup$




What is the probability that heads or tails shows twice in a row exactly once in the ten coin tosses. I also want to understand the process followed to achieve it.







probability conditional-probability






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Jan 22 at 2:26









harihari

2




2




closed as off-topic by RRL, bof, Xander Henderson, Did, José Carlos Santos Jan 22 at 8:32


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 provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – RRL, Xander Henderson, Did, José Carlos Santos

If this question can be reworded to fit the rules in the help center, please edit the question.







closed as off-topic by RRL, bof, Xander Henderson, Did, José Carlos Santos Jan 22 at 8:32


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 provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – RRL, Xander Henderson, Did, José Carlos Santos

If this question can be reworded to fit the rules in the help center, please edit the question.








  • 1




    $begingroup$
    Can both the sequences HH and TT appear, or only one of them?
    $endgroup$
    – saulspatz
    Jan 22 at 2:32






  • 2




    $begingroup$
    See this. It is not exactly the same but it sounds like you two should work together.
    $endgroup$
    – John Douma
    Jan 22 at 2:36










  • $begingroup$
    Not sure exactly what "heads or tails shows twice in a row exactly once" means. What about TTHHTTHTTT? Heads shows twice in a row exactly once; does that count?
    $endgroup$
    – bof
    Jan 22 at 2:42










  • $begingroup$
    HH or TT. Anything can appear. But both should not appear. It is either HH or TT only once in the sequence
    $endgroup$
    – hari
    Jan 22 at 3:09










  • $begingroup$
    @bof The sequence you posted is not valid. It should be something like HHTHTHTHTH or THTHTHTHTT.
    $endgroup$
    – hari
    Jan 22 at 3:16














  • 1




    $begingroup$
    Can both the sequences HH and TT appear, or only one of them?
    $endgroup$
    – saulspatz
    Jan 22 at 2:32






  • 2




    $begingroup$
    See this. It is not exactly the same but it sounds like you two should work together.
    $endgroup$
    – John Douma
    Jan 22 at 2:36










  • $begingroup$
    Not sure exactly what "heads or tails shows twice in a row exactly once" means. What about TTHHTTHTTT? Heads shows twice in a row exactly once; does that count?
    $endgroup$
    – bof
    Jan 22 at 2:42










  • $begingroup$
    HH or TT. Anything can appear. But both should not appear. It is either HH or TT only once in the sequence
    $endgroup$
    – hari
    Jan 22 at 3:09










  • $begingroup$
    @bof The sequence you posted is not valid. It should be something like HHTHTHTHTH or THTHTHTHTT.
    $endgroup$
    – hari
    Jan 22 at 3:16








1




1




$begingroup$
Can both the sequences HH and TT appear, or only one of them?
$endgroup$
– saulspatz
Jan 22 at 2:32




$begingroup$
Can both the sequences HH and TT appear, or only one of them?
$endgroup$
– saulspatz
Jan 22 at 2:32




2




2




$begingroup$
See this. It is not exactly the same but it sounds like you two should work together.
$endgroup$
– John Douma
Jan 22 at 2:36




$begingroup$
See this. It is not exactly the same but it sounds like you two should work together.
$endgroup$
– John Douma
Jan 22 at 2:36












$begingroup$
Not sure exactly what "heads or tails shows twice in a row exactly once" means. What about TTHHTTHTTT? Heads shows twice in a row exactly once; does that count?
$endgroup$
– bof
Jan 22 at 2:42




$begingroup$
Not sure exactly what "heads or tails shows twice in a row exactly once" means. What about TTHHTTHTTT? Heads shows twice in a row exactly once; does that count?
$endgroup$
– bof
Jan 22 at 2:42












$begingroup$
HH or TT. Anything can appear. But both should not appear. It is either HH or TT only once in the sequence
$endgroup$
– hari
Jan 22 at 3:09




$begingroup$
HH or TT. Anything can appear. But both should not appear. It is either HH or TT only once in the sequence
$endgroup$
– hari
Jan 22 at 3:09












$begingroup$
@bof The sequence you posted is not valid. It should be something like HHTHTHTHTH or THTHTHTHTT.
$endgroup$
– hari
Jan 22 at 3:16




$begingroup$
@bof The sequence you posted is not valid. It should be something like HHTHTHTHTH or THTHTHTHTT.
$endgroup$
– hari
Jan 22 at 3:16










1 Answer
1






active

oldest

votes


















2












$begingroup$

Let us denote "Head" by $H$ and "Tail" by $T$. Now, to constract a sequence at first we choose what we want to repeat twice $H$ or $T$. Suppose $H$, then choose the position, here we have $1$st to $9$th place. Other portion can be filled up only in one way, e.g.,
we choose $3$rd place, then the sequence: $HTHHTHTHTH$






share|cite|improve this answer









$endgroup$









  • 1




    $begingroup$
    Is this the answer?
    $endgroup$
    – hari
    Jan 22 at 3:11










  • $begingroup$
    No, Its not complete answer, but it is the process to construct the favored sequences.
    $endgroup$
    – Offlaw
    Jan 22 at 3:22


















1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









2












$begingroup$

Let us denote "Head" by $H$ and "Tail" by $T$. Now, to constract a sequence at first we choose what we want to repeat twice $H$ or $T$. Suppose $H$, then choose the position, here we have $1$st to $9$th place. Other portion can be filled up only in one way, e.g.,
we choose $3$rd place, then the sequence: $HTHHTHTHTH$






share|cite|improve this answer









$endgroup$









  • 1




    $begingroup$
    Is this the answer?
    $endgroup$
    – hari
    Jan 22 at 3:11










  • $begingroup$
    No, Its not complete answer, but it is the process to construct the favored sequences.
    $endgroup$
    – Offlaw
    Jan 22 at 3:22
















2












$begingroup$

Let us denote "Head" by $H$ and "Tail" by $T$. Now, to constract a sequence at first we choose what we want to repeat twice $H$ or $T$. Suppose $H$, then choose the position, here we have $1$st to $9$th place. Other portion can be filled up only in one way, e.g.,
we choose $3$rd place, then the sequence: $HTHHTHTHTH$






share|cite|improve this answer









$endgroup$









  • 1




    $begingroup$
    Is this the answer?
    $endgroup$
    – hari
    Jan 22 at 3:11










  • $begingroup$
    No, Its not complete answer, but it is the process to construct the favored sequences.
    $endgroup$
    – Offlaw
    Jan 22 at 3:22














2












2








2





$begingroup$

Let us denote "Head" by $H$ and "Tail" by $T$. Now, to constract a sequence at first we choose what we want to repeat twice $H$ or $T$. Suppose $H$, then choose the position, here we have $1$st to $9$th place. Other portion can be filled up only in one way, e.g.,
we choose $3$rd place, then the sequence: $HTHHTHTHTH$






share|cite|improve this answer









$endgroup$



Let us denote "Head" by $H$ and "Tail" by $T$. Now, to constract a sequence at first we choose what we want to repeat twice $H$ or $T$. Suppose $H$, then choose the position, here we have $1$st to $9$th place. Other portion can be filled up only in one way, e.g.,
we choose $3$rd place, then the sequence: $HTHHTHTHTH$







share|cite|improve this answer












share|cite|improve this answer



share|cite|improve this answer










answered Jan 22 at 3:03









OfflawOfflaw

3189




3189








  • 1




    $begingroup$
    Is this the answer?
    $endgroup$
    – hari
    Jan 22 at 3:11










  • $begingroup$
    No, Its not complete answer, but it is the process to construct the favored sequences.
    $endgroup$
    – Offlaw
    Jan 22 at 3:22














  • 1




    $begingroup$
    Is this the answer?
    $endgroup$
    – hari
    Jan 22 at 3:11










  • $begingroup$
    No, Its not complete answer, but it is the process to construct the favored sequences.
    $endgroup$
    – Offlaw
    Jan 22 at 3:22








1




1




$begingroup$
Is this the answer?
$endgroup$
– hari
Jan 22 at 3:11




$begingroup$
Is this the answer?
$endgroup$
– hari
Jan 22 at 3:11












$begingroup$
No, Its not complete answer, but it is the process to construct the favored sequences.
$endgroup$
– Offlaw
Jan 22 at 3:22




$begingroup$
No, Its not complete answer, but it is the process to construct the favored sequences.
$endgroup$
– Offlaw
Jan 22 at 3:22



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