An urn contains 25 balls, 40% of which are green. A contestant reaches in the urn to choose three balls; the contestant will win $200 if he or she selects a green ball, but will lose $120 for any other colour. Is each version of the game a fair game? Justify your response.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
An urn contains 25 balls, 40% of which are
green. A contestant reaches in the urn to
choose three balls; the contestant will win
$200 if he or she selects a green ball, but
will lose $120 for any other colour. Is each
version of the game a fair game? Justify
your response.
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