You flip Coin A 500 times and heads appear 205 times. When you flip Coin B 250 times tails appear 120 times. Which is the fairer coin?

Reinterpreting the question, it's asking us to find which coin has a closer probability to 50% of getting either heads or tails.

Coin A

205 / 500 =.41 = 41%

Coin B

120 / 250 =.48 = 48%

Since 48% is closer to 50% than 41% is, coin B is the fairest.