Therefore, a likely experiment would be
Ji-woo has a bag of 10 balls, 4 of them red, 2 of them green, and the rest
blue. She plans to draw a ball from the 10 each day of the month of September,
which has 30 days. About how many days in September should she theoretically
expect to draw:
(1) a red ball? _____
(2) a green ball? _____
(3) a blue ball? _____
She decided this could be the experiment because she would know P(red)=4/10=2/5,
P(green)=2/10=1/5, So P(blue)=1-2/5-1/5=2/5. And her theoretical expectation
for the number of days in September she would draw each color would be the
30 days multiplied by the probability of each color, or
(1) E(red) = (30)(2/5) = 12 red balls
(2) E(green) = (30)(1/5) = 6 green balls
(3) E(blue) = (30)(2/5) = 12 blue balls
Remark:
Since 12 is twice 6, then if she decided to continue the experiment for many
days, she should expect to have gotten about the same total number of red balls
as the total number of blue balls, and about half as many for the total number
of blue balls.
Edwin
