A basket contains 4 black, 2 blue, and 5 green balls. A sample of 3 balls is drawn. Find the probabilities that the sample, drawn without replacement, contains the following
All blue balls
Exactly 2 black balls
2 green balls and 1 blue ball© BrainMass Inc. brainmass.com October 10, 2019, 12:08 am ad1c9bdddf
I am going to answer them in a different order, for purposes of explanation.
All blue balls : Student, this case is easy: zero! Since there are only 2 blue balls, we can never get all blues in a sample of three!
2 green balls and 1 blue ball : Letting G be a green ball and B be a blue ball, we can do this three ways: BGG, GBG, or GGB. Let's look at each case:
B on first draw: 2/11 (2 of the 11 in the basket ...
Details on each case and how the probability is calculated.