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Concept: Introduction to Probability

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you have studied about experimental (or empirical) probabilities of events which were based on the results of actual experiments. We discussed an experiment of tossing a coin 1000 times in which the frequencies of the outcomes were as follows: Head : 455 Tail : 545
Based on this experiment, the empirical probability of a head is 455/1000 , i.e., 0.455 and that of getting a tail is 0.545. Note that these probabilities are based on the results of an actual experiment of tossing a coin 1000 times. For this  reason, they are called experimental or empirical probabilities.

In fact, experimental probabilities are based on the results of actual experiments and adequate recordings of the appening of the events. Moreover,these probabilities are only ‘estimates’. If we perform the same experiment for another 1000 times, we may get different data giving different probability estimates. In Class IX, you tossed a coin many times and noted the number of times it turned up heads (or tails) You also noted that as the number of tosses of the coin increased, the experimental probability of getting a head (or tail) came closer and closer to the number 1/2 ⋅ Not only you, but many other persons from different parts of the world have done this kind of experiment and recorded the number of heads that turned up.

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