Posted by **Holden** on Thursday, March 3, 2011 at 10:19pm.

There are 3 red marbles, 3 blue marbles, and 1 green marble in a bag. A marble is drawn at random from the bag and not replaced. Then a second marble is drawn. What are all the possible outcomes?

- math -
**MathMate**, Friday, March 4, 2011 at 11:47am
There are two mutually exclusive cases:

case 1: the first marble is green, then there are *two* outcomes for the second marble (red or blue).

case 2: the first marble is not green

then there are *two* possible outcomes for the first marble (R or B), and 3 possible outcomes for the second (R, G or B), making a total of 6 outcomes by the multiplication rule.

By the rule of addition, we add the outcomes of cases 1 and 2 to get

total outcomes = 2+6 = 8.

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