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NARA [144]
3 years ago
6

Define theoretical and experimental probability and how we can relate the two.

Mathematics
1 answer:
Veronika [31]3 years ago
6 0
Theoretical probability<span> is the term used to describe what </span>we<span> expect to happen based on math theory, whereas </span>experimental probability<span> refers to what actually happens when the actual situation </span>is tried out as an experiment.

We can relate the two types of probability by comparing their values - the values should be relatively close. In most experiments, they will not be equal, but they should be relatively close; if not, it may be that the experiment was conducted improperly or more trials need to be completed.
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===========================================================

Work Shown:

y - (6/y) = 5
y*(y - (6/y)) = y*5 <<--- see note 1 below
y^2 - 6 = 5y
y^2 - 5y - 6 = 0
(y+1)(y-6) = 0 <<--- see note 2 below
y+1 = 0 or y-6 = 0
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note 1: I multiplied both sides by y to clear out the fraction (the LCD is y)

note 2: I factored the left side by asking myself "what two numbers multiply to -6 and add to +5?" the answer to that question is +1 and -6 which helps lead to the factorization. An alternative route instead factoring is to use the quadratic formula

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