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Two coins are tossed 76 times.
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The upper faces are observed and the results are recorded in this table.
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Determine the experimental probability of getting two tails as a fraction in its simplest form.
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Experimental probability is based on what actually happened after you’ve performed an experiment.
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In this case, two coins that are tossed 76 times are the experiment.
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We want to know what the probability is of getting two tails.
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The probability of two tails equals the number of favorable outcomes over the total outcomes.
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Our favorable outcomes are the times when two tails facing up are recorded.
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16 of occurrences yielded two tails facing up.
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And how many total outcomes were possible?
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The coins were tossed 76 times, which means there was 76 different outcomes possible.
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The experimental probability is 16 over 76, but we can’t overlook the instruction that we were given.
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Our question has asked us to present this probability in simplest form.
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This means we have some reducing to do.
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I noticed that both 16 and 76 are even numbers, which means they’re both divisible by two.
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16 divided by two is eight.
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76 divided by two is 38.
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Eight and 38 are both even numbers again, so we know that we can divide the numerator and the denominator by two again.
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If we divide eight by two and 38 by two, equals four-nineteenths.
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Four-nineteenths cannot be reduced any further.
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It’s in its simplest form.
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The probability of observing two tails is four-nineteenths.