Do you think the experimental probability can ever be equal to the theoretical probability? Why or why not?

QUESTION POSTED AT 16/04/2020 - 06:39 PM

Answered by admin AT 16/04/2020 - 06:39 PM

Ok so theoretical probability- what should happen after testing experimental probability- what did happen after testing This is true, but to expand on this: Suppose we toss a fair (non weighted) coin. The theoretical probability of getting a head (or tail) is 1/2 because the coin is fair so we should get an equal number of heads and tails ie. this is what should happen in theory. In practice this doesn't always happen, which is where experimental probability comes in. Experimental probability is the probability of an outcome of an event based on an experiment. For example, if we toss the coin 10 times and get 4 heads and 6 tails we would say that the experimental probability of getting a head is 4/10 = 2/5 and the experimental probability of getting a tail is 6/10 = 3/5. The more experiments we do, the closer the probabilities get to the theoretical probability. Experimental probability is particularly useful when looking at problems which involved events and outcomes for which we don't know a theoretical probability, so we use experimental probability to get an approximation. hope this helps 
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