A bag contains 3 red marbles, 2 blue marbles, and 5 green marbles. What is the probability of randomly selecting a blue marble, then without replacing it, randomly selecting a green marble?

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Answer 1 · 2016-12-16T20:24:19

#1/9#

Initial condition:

3 red
2 blue
5 green

Total #3+2+5=10#

Probability of blue is #2/10#
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Second condition:

3 red
1 blue
5 green

New total #3+1+5=9#

Probability of green is #5/9#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Total probability of selecting this path is:

#2/10xx5/9" "=" "2/9xx5/10" "=" "2/9xx1/2" "=" "1/9#