Respuesta :
The required probability is [tex]\dfrac{1}{12}[/tex].
Important information:
- Red marbles = 4
- Green marbles = 3
- Blue marbles = 2
Probability:
Total number of marbles is:
[tex]4+3+2=9[/tex]
The probability of getting a blue marble is [tex]\frac{2}{9}[/tex].
After removing a marble, the number of remaining marbles is 8. So, the probability of getting a green marble is [tex]\frac{3}{8}[/tex].
Now, the probability that the first marble is blue and the second marble is green is:
[tex]P=\dfrac{2}{9}\times \dfrac{3}{8}[/tex]
[tex]P=\dfrac{1}{12}[/tex]
Therefore, the required probability is [tex]\dfrac{1}{12}[/tex].
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