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Amsco Integrated Algebra I: Empirical Probability |
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This is a free lesson from our course in Amsco's Integrated Algebra
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This lesson covers concepts of probability.The probability is defined as the ratio
of the number of outcomes favourable to the event divided by the total number of
outcomes. E.g. when we toss a coin, we don’t know whether the coin will land with the head side or the tail side facing upward. We can describe this situation saying
that the probability of heads is 1/2 and the probability of tails is 1/2 and it
can be symbolized as: P (heads) = 1/2 or P (H) = 1/2 v/s P (tails) =1/2 or P (T)
= 1/2. In cases of complex situation it may require a large number of trials and
observing the outcomes taking scientific approach, and the outcome is empirical
probability i.e. the empirical probability is the most accurate scientific estimate,
based on large number of trials of the cumulative ralative frequency of an event
happening.For example: If a coin is tossed 200 times and records reveal 122 "heads"
& 78 "tails", from this experiment the empirical probability of getting head
is P(Head) = 122/200 i.e. 0.61 or 61%. |
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