Suppose I tell you that I flipped a coin multiple times and

Suppose I tell you that I flipped a coin multiple times and got 75% heads. Would you be reasonably convinced that this was not a fair coin (where “fair” means that the coin has a 50/50 chance of landing heads or tails)? If so, explain why. If not, describe what additional information you would ask for and explain why that information is necessary.

Solution

I am noot convinced that it is not fair coin as it depends upon the number of times coin has been tossed. Because if you tossed it 50 times and got around 37 heads that means 75 % heads. But if you increase this 50 times to 1000 times or say 10000 times then perhaps the number of heads coming tends to 50% as the trial number increases. So number of trial should be very huge to conclude these results. If you say you tossed 10000 times and you got 75% heads then i shall be more or less convinced that coin is not fair. SO i need the number of times you tossed then i can say if i am convinced or not.