standard_description: Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value. For example, find the theoretical probability distribution for the number of correct answers obtained by guessing on all five questions of a multiple-choice test where each question has four choices, and find the expected grade under various grading schemes.
problem_activity: Tram knows that
$$1\frac{1}{6}$$
is less than
$$1\frac{2}{3}$$
. He wonders if this means that
$$-1\frac{1}{6}$$
is also less than
$$-1\frac{2}{3}$$
.
Help Tram determine and understand the correct order of
$$-1\frac{1}{6}$$
and
$$-1\frac{2}{3}$$
, from least to greatest.


aligns: no