1.4 Prep Work: The Probabilities are Endless (NOTE: It is advised that you make
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1.4 Prep Work: The Probabilities are Endless (NOTE: It is advised that you make a copy of this prep work since this is what will be discussed at the beginning of class after the due date (26 Jan). Half credit will automatically be given for attempt only; the rest based on reasonableness of answers You will run the following "experiment": Toss a coin 10 times. (NOTE: This can easily be simulated on your calculator as shown on the back! Number of heads: Number of tails: What percentage of coin tosses were heads? Does this make sense? Why or why not? Now toss a coin 50 times. number of heads: number of tails: What percentage of coin tosses were heads? Does this make sense? Why or why not? Now toss a coin 200 times (this may take a minute on the calculator, but not nearly as long as actually tossing the coins!). number of heads: number of tails: What percentage of coin tosses were heads Does this make sense? Why or why not? What appears to happen the more trials you run in this experiment?Explanation / Answer
When coin was tossed 10 times,
No of heads = 6
No of tails = 4
Percentage of heads = 60. It is expected to get head 50% of times. In experiment, it was 60%. This makes sense as we cannot expect the experiment to follow as per the probability because the number of trials is less
When coin was tossed 50 times,
No of heads = 21
No of tails = 29
Perecentage of heads = 42%
Percentage of tails = 58%
This makes sense. The number of trials have increased and the experiment is giving results closer to the expected value of 50%
When coin was tossed 200 times,
No of heads = 97
No of tails = 103
Percentage of heads = 48.5
This also makes sense. The percentage seems to be closer to the expected value of 50%
As the number of trials increase, we can observe that the percentage of heads is becoming more and more closer to the expected percentage of 50%
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