We say a coin or dice is biased when the probability of outcomes are not equally likely when a coin is flipped, or the dice is rolled. For example, if we flip a coin, conceptually both the sides have the same probability of an outcome . i.e,probability of heads [p(h)] =probability of tails [p(t)]=½=0.5. So the sum of Probability of the possible outcome will always be one. But in a biased coin, the probability of the outcome might not be same.
Same goes with unbiased dice . The probability of outcome of numbers 1-6 in an unbiased dias is same which is ⅙ .
For example, a biased dice might have the following probabilities:
1 1/12 = 1/12
2 1/12 = 1/12
3 1/12 = 1/12
4 1/6 = 2/12
5 1/4 = 3/12
6 1/3 = 4/12
Even here the sum of probabilities is one. This is not the case with the biased dice. The probabilities might not be same here. So, the meaning of biased is pretty simple. It is when the coin or dice doesn’t have the equal probability for different outcomes.
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