11th Outcome
Your best friend tells you it is almost impossible for someone to flip a coin and have it land on heads 11 times in a row. You take her challenge and start flipping a coin from your pocket. After 10 flips, there have been 10 heads in a row everytime. What do you think the result of the 11th coin flip is most likely to be?
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1 solution
Haha. You are definitely wrong this time. Posting report
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No dear !! The coin is not fair and that is what you have to understand through the problem!!
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No. For it to be unfair, it has to be mentioned, not understood!
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@Prince Loomba – Until it is not mentioned it is unbiased, it is fair.
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@Prince Loomba – But how can you assume that it is fair! Read the sentence which says that there are 10 heads in a row everytime.
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@Nashita Rahman – So what? It cant be possible by a fair coin?
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@Prince Loomba – You are not understanding the problem!! From the problem , you have to understand that it is not a fair coin. I hope you got it.
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@Nashita Rahman – Actually I am getting you. But your conclusion that it is unfair is not certain. It can be fair. Fair coin has also a probability of 10 heads in a row, though it is small.
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@Prince Loomba – Yes but everytime it is not possible to get 10 heads in a row with a fair coin so the coin cannot be fair.
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@Nashita Rahman – Lets see what the community replies....
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@Prince Loomba – Yes , let's see what will turn out to be true :)
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@Nashita Rahman – Hmmm interesting :) I get both sides actually. I am only going to react on the phrase : "every time it is not possible...". That's no argument to the discussion : if something doesn't happen to you, it doesn't mean it can't happen. If there is a probability of an event happening greater than 0, eventually this event will occur with probability 1. It is your gut feeling saying it isn't likely that the coin is fair. I think the answer to the question is hard to determine. It can still be fair but seems likely not to be fair because of the small of the event to occur.
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@Peter van der Linden – "A coin is giving 10 heads in a row whenever you toss it ten times " - this statement itself tells that the coin is not fair. If the coin would be fair it is not possible to get heads everytime you toss it! Moreover the problem is asking "what is the result of 11th flip most likely to be?"
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@Nashita Rahman – Again: gut feeling. I am not convinced without proper arguments(probably conditional probability?) I just don't have time now to go over that :)
@Nashita Rahman – Btw, best of luck for exams and practicals!
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@Prince Loomba – Best Of Luck to you too👍
Nashita, it may come that hitting 10 times is possible, see, there is always a probability, even it is very low still, tail may appear, why head? Yes, I am not telling your logic bad, but your question is quite confusing, And No violence haha
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@Md Zuhair – There's a report again on this problem LOL ! This problem is two years old and I really agree with you though I didn't agree two years back!
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@Nashita Rahman – Aww thanks.. U understood finally xD
Even if you thought the coin was fair at the beginning, after 10 heads in a row, it’s becoming more likely that the coin was unfairly weighted to be more likely to land on heads. So the answer is Heads