@Puneet: So are you saying that 100 heads in a row wouldn't convince you that you had the unfair coin? How many heads in a row would it take?
Dave On Aug 7, 2:40 pm, Puneet Gautam <[email protected]> wrote: > Sixth toss is independent of previous tosses and dependent only on > coin selection...! > > 1/5 + 4/5(1/2)= 3/5 > > is the correct answer.... > > we want to calc. probability of getting heads the sixth time only.... > even if it would have been 100 th time...3/5 would be the answer > only.. > > On 8/8/11, Prakash D <[email protected]> wrote: > > > > > 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 <[email protected]> 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 > >> <[email protected]>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 <[email protected]> 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 <[email protected]> > >>> 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 <[email protected]> wrote: > >>> > > > sry...its wrong > > >>> > > > On Aug 7, 10:34 pm, Algo Lover <[email protected]> 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). > > >>> > > -- > >>> > > You received this message because you are subscribed to the Google > >>> Groups > >>> > > "Algorithm Geeks" group. > >>> > > To post to this group, send email to [email protected]. > >>> > > To unsubscribe from this group, send email to > >>> > > [email protected]. > >>> > > For more options, visit this group at > >>> > >http://groups.google.com/group/algogeeks?hl=en. > > >>> > -- > >>> > Regards > >>> > Kunal Yadav > >>> > (http://algoritmus.in/) > > >>> -- > >>> You received this message because you are subscribed to the Google Groups > >>> "Algorithm Geeks" group. > >>> To post to this group, send email to [email protected]. > >>> To unsubscribe from this group, send email to > >>> [email protected]. > >>> For more options, visit this group at > >>>http://groups.google.com/group/algogeeks?hl=en. > > >> -- > >> You received this message because you are subscribed to the Google Groups > >> "Algorithm Geeks" group. > >> To post to this group, send email to [email protected]. > >> To unsubscribe from this group, send email to > >> [email protected]. > >> For more options, visit this group at > >>http://groups.google.com/group/algogeeks?hl=en. > > > -- > > You received this message because you are subscribed to the Google Groups > > "Algorithm Geeks" group. > > To post to this group, send email to [email protected]. > > To unsubscribe from this group, send email to > > [email protected]. > > For more options, visit this group at > >http://groups.google.com/group/algogeeks?hl=en. -- You received this message because you are subscribed to the Google Groups "Algorithm Geeks" group. To post to this group, send email to [email protected]. To unsubscribe from this group, send email to [email protected]. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en.
