A friend has offered to play a gambling game with you that involves flipping a coin that she has provided. You want to test the coin in advance for fairness before agreeing to gamble. Your friend is willing to let you flip it 50 times to determine if the probability of getting heads is actually 0.50, as it should be if the coin is fair. Is it necessary to check the 10% condition in this case

The 10% condition would not apply here

Explanation:

The 10% condition is the recommended size of sample from the population to get a non biased result. The 10% condition requires that the sample be not more than 10% of the population.

Tossing a coin is an example of a Bernoulli trial. A Bernoulli trial is one that has two possible outcomes, this face of the coin or the other face of the coin. The 10% condition does not apply to Bernoulli trials that are independent events.

Therefore the 10% condition would not apply here because tossing a coin is an an independent event. An independent event is one with replacement.

The answer is 9.63

I got this answer from khan academy.