Question: we have a large jar filled with balls of three...
We have a large jar filled with balls of three colors, red,
white, and black, which we will
draw from the jar one at a time. There are equal numbers of each color in the jar, so the chances of
drawing any color is 1/3. Now consider an experiment (random process) in which three balls are drawn
consecutively from the jar. We record the sequence of colors as the outcome of the experiment. For
example, “RRW” means the first ball was red, the second ball was red, and the third ball was white.
a) Is the probability space for this process discrete or continuous?
b) How many possible outcomes are there?
c) Enumerate the outcomes.
d) What is the probability of each outcome?
e) What is the probability of the event “one ball of each color was drawn”, where the order in which the
colors were drawn does not matter?