Consider an opaque bag with 5 green marbles, 3 blue marbles, and 2 red marbles. c. If two marbles are drawn without replacement what is the probability that the both marbles are the same color?
Since there are 5 green marbles and 10 total marbles. The chance I draw a green marble at first is 5/10. Then, there are 4 green marbles and 9 total marbles. This means that the chance of drawing 2 green marbles is 5/10*4/9 = 2/9.
Using the same method, solve for the chance of drawing 2 blue marbles and red marbles.
Then, add all three up for the possibility of drawing two marbles of the same colour.