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A bag of 35 marbles contains equal amounts of the colors: blue, green, red, yellow, black, white, and orange. You draw 3 marbles without replacing them in the bag. What is the probability that all the marbles are blue? Give your answer as an exact fraction and reduce the fraction as much as possible.

Respuesta :

spayne82

Answer:

2/1309

Step-by-step explanation:

[tex]\frac{1}{7} x\frac{4}{34} x\frac{1}{11}[/tex]

Answer:  2/1309

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Explanation:

There are 35 marbles and 7 colors. We have an equal amount of each color, so there are 35/7 = 5 marbles per color. We have 5 blue marbles to start.

  • The fraction 5/35 = 1/7 represents the probability of selecting blue.
  • The fraction 4/34 = 2/17 is the probability of selecting another blue marble. We subtract 1 from the numerator and denominator since we did not replace the first marble chosen.
  • The fraction 3/33 = 1/11 is the probability of selecting a third blue marble in a row.

We'll multiply out those fractions to get our final answer

(1/7)*(2/17)*(1/11) = (1*2*1)/(7*17*11) = 2/1309

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