1.) coin is fair
2.) coin is unfair

P(head) for unfair coin= 1/5 * 1= 1/5
P(head) for fair coin= 4/5* 1/2 = 2/5


the probability at any instant that the tossed coin is a head is 3/5

17/80 is the probability to get head at all the six times.

the soln. for this problem will be 3/5

On Mon, Aug 8, 2011 at 12:45 AM, aseem garg <ase.as...@gmail.com> wrote:

> If the coin is unbiased then probability of heads: 1/2 irrespective of
> whether it is first time or nth time. So answer should be 3/5.
> Aseem
>
>
>
> On Mon, Aug 8, 2011 at 12:39 AM, saurabh chhabra 
> <saurabh131...@gmail.com>wrote:
>
>> Even u dont get why u people are gettin 17/80...the probability that
>> it will be a head 6th time will be same as the frst time...so it shud
>> be 3/5...
>>
>> On Aug 7, 11:05 pm, Kunal Yadav <kunalyada...@gmail.com> wrote:
>> > @algo: We can get head in two cases:-
>> >
>> > 1.) coin is biases
>> > 2.) coin is not biased
>> >
>> > P(head) for biased= 1/5 *1*1*1*1*1*1= 1/5
>> > P(head) for unbiased= 4/5*(1/2)^6
>> > hence combined probability is what nitish has already mentioned. Hope
>> you
>> > get the point.
>> >
>> >
>> >
>> >
>> >
>> >
>> >
>> >
>> >
>> > On Sun, Aug 7, 2011 at 11:29 PM, Algo Lover <algolear...@gmail.com>
>> wrote:
>> > > Can anyone explain the approach how to solve this .
>> > > I think all tosses are independent so it should be 3/5. why is this
>> in-
>> > > correct
>> >
>> > > On Aug 7, 10:55 pm, saurabh chhabra <saurabh131...@gmail.com> wrote:
>> > > > sry...its wrong
>> >
>> > > > 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
>> > Kunal Yadav
>> > (http://algoritmus.in/)
>>
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