b**********g
发帖数: 460 | 1 There are 8 possible coin flip triplets. Here they all are, with H as
"Heads" and T as "Tails":
HHH HTH HHT HTT
THH TTH THT TTT
Pick any triplet and I'll pick a different one. We'll flip a fair coin
until one of these triplets occurs. Also, to sweeten the deal, I'll give
you 3 to 2 odds, meaning that if you win you'll get $3 and if I win I'll
only $2 (just pretending). Would you want to play? Why or why not?
This is a question from my son's 6th grade statistics class. | H****h
发帖数: 1037 | 2 自觉看，HHT和TTH都是好选择。
【在 b**********g 的大作中提到】
: There are 8 possible coin flip triplets. Here they all are, with H as
: "Heads" and T as "Tails":
: HHH HTH HHT HTT
: THH TTH THT TTT
: Pick any triplet and I'll pick a different one. We'll flip a fair coin
: until one of these triplets occurs. Also, to sweeten the deal, I'll give
: you 3 to 2 odds, meaning that if you win you'll get $3 and if I win I'll
: only $2 (just pretending). Would you want to play? Why or why not?
: This is a question from my son's 6th grade statistics class.
| b**********g
发帖数: 460 | | l*****e
发帖数: 238 | 4 if you pick HHH, i pick THH, possibility (you win) = 1/8
HTH HHT 1/3
HHT THH 1/4
HTT HHT 1/3
【在 b**********g 的大作中提到】
: There are 8 possible coin flip triplets. Here they all are, with H as
: "Heads" and T as "Tails":
: HHH HTH HHT HTT
: THH TTH THT TTT
: Pick any triplet and I'll pick a different one. We'll flip a fair coin
: until one of these triplets occurs. Also, to sweeten the deal, I'll give
: you 3 to 2 odds, meaning that if you win you'll get $3 and if I win I'll
: only $2 (just pretending). Would you want to play? Why or why not?
: This is a question from my son's 6th grade statistics class.
| b**********g
发帖数: 460 | 5 Thank you for the answer,
can you explain in detail? sorry, forget everything about math....
【在 l*****e 的大作中提到】
: if you pick HHH, i pick THH, possibility (you win) = 1/8
: HTH HHT 1/3
: HHT THH 1/4
: HTT HHT 1/3
| l*****e
发帖数: 238 | 6 the only possibility that HHT wins over THH is: the first 2 results are HH.
Otherwise, if T appears in either the 1st or the 2nd time, THH appears
earlier than HHT, which is obvious.
【在 H****h 的大作中提到】
: 自觉看，HHT和TTH都是好选择。
| H****h
发帖数: 1037 | 7 呵呵，没仔细想。
【在 l*****e 的大作中提到】
: the only possibility that HHT wins over THH is: the first 2 results are HH.
: Otherwise, if T appears in either the 1st or the 2nd time, THH appears
: earlier than HHT, which is obvious.
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