In an experiment you are to flip a two sided coin 100 times and record 55 heads up and 45 tails up. Determine the theoretical and experimental probability of getting a heads up in the experiment. theoretical = 1/2; experimental = 1/2 theoretical = 11/20; experimental = 1/2 theoretical = 1/2; experimental = 11/20 theoretical = 11/20; experimental = 11/20

Question

Mathematics

Conway

30 November, 09:01

In an experiment you are to flip a two sided coin 100 times and record 55 heads up and 45 tails up. Determine the theoretical and experimental probability of getting a heads up in the experiment. theoretical = 1/2; experimental = 1/2 theoretical = 11/20; experimental = 1/2 theoretical = 1/2; experimental = 11/20 theoretical = 11/20; experimental = 11/20

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Thaddeus Barnes · Answer 1

theoretical = 1/2; experimental = 11/20

Step-by-step explanation:

The theoretical probability is what the predicted outcome of the experiment would be if we lived in a perfect world where everything happened as we predicted it.

So, when you flip a coin the odds of it being heads is 1/2. That is the theoretical probability.

The experimental probability is what actually ends up happening.

Because we don't live in a perfect world the results were a little off from what was expected. 45/55. (That ends up being simplified to the 11/20 btw.