February 20, 2019
Chips In A Bag
Imagine you have a bag containing
5 red ,
3 blue,
2 orange chips.
a. Suppose you draw a chip and it is
blue. If drawing without replacement, what is the probability the next is also
blue?
2 / 9
## [1] 0.2222222
b. Suppose you draw a chip and it is
orange, and then you draw a second chip without replacement. What is the probability this second chip is
blue?
3 / 9
## [1] 0.3333333
c. If drawing without replacement, what is the probability of drawing two
blue chips in a row?
(3 / 10) * (2 / 9)
## [1] 0.06666667
d. When drawing without replacement, are the draws independent? Explain.
NO
- Each observation only has one chance of being selected.
- The sample space changes every time a chip is drawn.
- The outcome of a draw depends on the one before it.