There are six sides to a die. If we assume that all sides have the same chance of coming up then each side has a probability of 1 in 6 or 1/6. This is the theoretical probability.
Of course if the die is not perfectly shaped and weighted then it will not be 'fair' and the sides will have different probabilities of coming up.
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The probability that the die tossed will land on a number that is smaller than 5 is 4/6 or 2/3. Smaller than 5 is 1 - 4 and 6 is the sample space.
If it a fair die, the probability is 1/3.
You roll it many times. The probability that it lands on a six is the number of times that it lands on a six divided by the number of times the die has been rolled.
The probability of rolling a number on a die is 1 out of the number of sides on the die. So, for a six sided die, the probability of rolling a 4 is 1/6. The probability of rolling a 4 or a 5 becomes 2/6 or 1/3. This is because there are two acceptable outcomes out of six. So when finding the probability of rolling a number less than x on a y sided die, it becomes x-1 / y. It is x-1 because the outcome is to roll less than the number, not less than or equal.
The probability for a normal die is 1/2.