SOLUTION: Container A has 3 blue marbles and 2 purple marbles, and Container B has 1 purple marble and 3 green marbles. An experiment consists of randomly selecting a marble from container A

Click here to see ALL problems on Probability-and-statistics

Question 249415: Container A has 3 blue marbles and 2 purple marbles, and Container B has 1 purple marble and 3 green marbles. An experiment consists of randomly selecting a marble from container A then selecting a marble from container B. What is the sample space? What is the probability of choosing a combination that includes a purple marble?
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Container A has 3 blue marbles and 2 purple marbles, and Container B has 1 purple marble and 3 green marbles. An experiment consists of randomly selecting a marble from container A then selecting a marble from container B. What is the sample space? What is the probability of choosing a combination that includes a purple marble?
---------------------
1st choice: purple is chosen 2 Ways
2nd choice: Anything is chosen 4 ways
-------------------------
8 combinations have a purple marble.
---------------------------------
1st choice is anything:: 5 ways
2nd choice is purple: 1 way
5 combinations have a purple marble.
--------------------------------------
Total of 13 ways to have a combination that includes a purple marble
------------------
# of unrestricted combinations: 5*4 = 20
---------------
P(comb. includes a purple) = (13)/20
========================================
Cheers,
Stan H.