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Sagot :
Answer:
[tex]P(Green\ and\ Blue) = 0.0776[/tex]
Step-by-step explanation:
Given
[tex]Green = 4[/tex]
[tex]Black = 8[/tex]
[tex]Blue=7[/tex]
Required
Determine the probability of selecting green then blue marble
This probability is represented as:
[tex]P(Green\ and\ Blue)[/tex]
And it is calculated using:
[tex]P(Green\ and\ Blue) = P(Green) * P(Blue)[/tex]
[tex]P(Green\ and\ Blue) = \frac{n(Green)}{Total} * \frac{n(Blue)}{Total}[/tex]
Total marble is:
[tex]Total = 4 + 8 + 7[/tex]
[tex]Total = 19[/tex]
So, we have:
[tex]P(Green\ and\ Blue) = \frac{4}{19} * \frac{7}{19}[/tex]
[tex]P(Green\ and\ Blue) = \frac{4*7}{19*19}[/tex]
[tex]P(Green\ and\ Blue) = \frac{28}{361}[/tex]
[tex]P(Green\ and\ Blue) = 0.0776[/tex] -- approximated
Hence, the required probability is approximately 0.0776
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