SOLUTION: An opaque bag contains 5 green marbles, 3 blue marbles, and 2 red marbles. Two marbles are randomly drawn without replacement.
A. 1/5
B. 3/10
C. 2/9
D. 1/3
The que
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Question 1160681: An opaque bag contains 5 green marbles, 3 blue marbles, and 2 red marbles. Two marbles are randomly drawn without replacement.
A. 1/5
B. 3/10
C. 2/9
D. 1/3
The question and the answer choices in the link here: https://i.imgur.com/CdhrAdS.png
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
there are green marbles, blue marbles, and red marbles-> total
as I can see on a link, you need to draw twice
in first draw you need red:
if total number of marbles is and you have red marbles:
probability to draw one is
second draw you want blue:
we have blue marbles and total number of marbles (remember one red is gone,there is no replacement) :
probability to draw one red and one blue:
since there is no such a choice in given options, I will try to see what is the probability of choosing two green marbles
there are green marbles, blue marbles, and red marbles-> total
to draw, for example, one green marble, probability is
since without replacement, now total number of marbles is and total number of green marbles is
and, to draw one more green marble without replacement , probability is
then, the probability of two green marbles is:
for an answer you have option:
C. (in case you want to draw two green marbles)
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