Consider an experiment where a person flips a coin and records the result over multiple trials. the theoretical probability and the experimental probability are compared at certain times during the experiment. during which trials can we guarantee that the experimental and theoretical probabilities will not be equal?

Answer with explanation:

→When we Compare Theoretical Probability and Experimental Probability ,while the  theoretical probability gives actual probability of each outcome while experimental probability gives experimental value of each Outcome when we perform an experiment.

→When number of trials goes higher and higher , the chances or with surity we can say that Theoretical Probability of each of the outcome or event will be nearly equal or equal to experimental Probability of each Outcome or event.

→When trials are very small , then there are chances that the experimental and theoretical probabilities will not be equal.

 This can be explained in following way.

Consider a coin is tossed once.While the theoretical probability says that probability of appearing head or tail when a coin is tossed once it is equal to Half, and when a coin is tossed twice then also theoretical probability of head or tail will be half, for coin tossed n times the theoretical probability of head or tail will be half.

Now,coming to Experimental probability

 When a coin is tossed 10 times

There may be,2 heads and 8 tails, 3 heads and 7 tails or 4 heads and 6 tails.So ,Probability is not equal to Half in any of these cases.When number of trials goes higher and Higher ,suppose after tossing the coin 100 times there are chances that we get 48 heads and 52 tails ,52 heads and 48 tails ,51 heads and 49 tails ,49 heads and 51 tails, it is most probable that ,experimental value of Head and tail becomes equal to theoretical Probability.

step-by-step explanation: