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Let's take the simple case of tossing a coin. You may end up with the Head facing up or the Tail facing up. If the coin is perfectly balanced then in the long run (say a 1000 tosses) you will get about 500 heads and 500 tails. You will never get 1000 heads or 1000 tails. In this simple experiment the probability of heads is defined as 500/1000 and the proability of tails is defined as 500/1000 where the numerator represnets in each case a "tagged" event and the denominator denotes the "toal" events. Thus in the case above the occurrence of Head or Tail can never be 1000, it will always be less the 1000 (the total attempts in the experiment). Hence 500/1000 (ratio of "tagged" event to the total eveents) which is defined as the probability can never be 1. In the extreme case where the coin is weighted (a counterfeit)such that you always get heads facing up then out of 1000 tries you will get 1000 heads and zero tails. In this case the probability of heads is 1 and the probability of tails is zero. I hope this explanation helps. Thus true probablity of an event lies between 0 and 1, both inclusive.

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Q: Why is a probability less than or equal to 1?
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