Man, I feel so stupid. Yes, it is a case of conditional probability. We have
to calculate the probability of six heads, "given" that 5 heads have
occured. So answer is 17/18.

On Tue, Aug 9, 2011 at 1:47 AM, Arun Vishwanathan <aaron.nar...@gmail.com>wrote:

> @shady: 3/5 can be the answer to such a question: what is prob of getting
> head on nth toss if we have 4 coins fair and one biased...then at nth toss u
> choose 4/5 1/5 prob and then u get 3/5
>
> @shady , don: i did this: P( 6th head | 5 heads occured)= P( 6 heads )/ P(
> 5 heads)
>
> answr u get is 17/18..i cud be wrong please correct if so
>
>
> On Mon, Aug 8, 2011 at 10:45 PM, shady <sinv...@gmail.com> wrote:
>
>> answer is 3/5. 17/80 is the answer for 6 consecutive heads.
>>
>>
>> On Tue, Aug 9, 2011 at 2:07 AM, Don <dondod...@gmail.com> wrote:
>>
>>> Consider the 5 * 64 possible outcomes for the selection of coin and
>>> six flips, each one happening with equal probability. Of those 320
>>> possible outcomes, 4*62 are excluded by knowing that the first 5 flips
>>> are heads. That leaves 64 outcomes with the rigged coin and 2 outcomes
>>> with each of the fair coins, for a total of 72 outcomes. 68 of those
>>> are heads, so the answer to the puzzle is 68 of 72, or 17 of 18.
>>> Don
>>>
>>> On Aug 8, 2:36 am, Shachindra A C <sachindr...@gmail.com> wrote:
>>> > @brijesh
>>> >
>>> > *first five times* is mentioned intentionally to mislead i think. I
>>> vote for
>>> > 3/5. Moreover, 17/80 doesn't make sense also. Plz correct me if I am
>>> wrong.
>>> >
>>> >
>>> >
>>> > On Mon, Aug 8, 2011 at 12:06 PM, sumit gaur <sumitgau...@gmail.com>
>>> wrote:
>>> > > (3/5)
>>> >
>>> > > On Aug 7, 10:34 pm, Algo Lover <algolear...@gmail.com> wrote:
>>> > > > A bag contains 5 coins. Four of them are fair and one has heads on
>>> > > > both sides. You randomly pulled one coin from the bag and tossed it
>>> 5
>>> > > > times, heads turned up all five times. What is the probability that
>>> > > > you toss next time, heads turns up. (All this time you don't know
>>> you
>>> > > > were tossing a fair coin or not).
>>> >
>>> > > --
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>>> > --
>>> > Regards,
>>> > Shachindra A C
>>>
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>
>
>
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-- 
Shuaib
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