In: Statistics and Probability
A jar has a red ball, a white ball, a blue ball, a
green ball, and a yellow ball. A hat has four slips of paper. one
slip has the number 1 written on it, another has 2 on it, another
has 3 on it and another has 4 on it. A ball is selected from the
jar and then a slip of paper is selected from the hat. One outcome
is (red,1).
a List the sample space
b. find P(green ball and a non 1 slip of paper)
c. find P(white ball selected given the red ball was not
selected)
d. Let A be the event that a yellow ball was selected and B be the
event that the slip of paper with a 3 written on it is selected.
Show that A and B are independent events using the definition of
independent events.