What is the probability of drawing a green and blue marble from a bag containing 10 yellow, 5 blue, 15 green, and 3 red with replacement? write your answer as a decimal. 50 POINTS!!!!!!!!! NEED ANSWER NOW

Respuesta :

gmany

Answer:

[tex]\large\boxed{\dfrac{50}{363}\approx1.4}[/tex]

Step-by-step explanation:

We have

10 + 5 + 15 + 3 = 33 marables

The probability of drawing of green marable is:

[tex]\dfrac{15}{33}=\dfrac{15:3}{33:3}=\dfrac{5}{11}[/tex]

The probability of drawing of blue marable is:

[tex]\dfrac{5}{33}[/tex]

The probability of drawing of green and blue marables is:

[tex]\dfrac{5}{11}\cdot\dfrac{5}{33}+\dfrac{5}{33}\cdot\dfrac{5}{11}=\dfrac{25}{363}+\dfrac{25}{363}=\dfrac{50}{363}\approx0.14[/tex]

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