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hammer [34]
3 years ago
6

A bag contains exactly three red marbles, five yellow marbles and two blue marbles. If three marbles are drawn from the bag with

out replacement, what is the probability that all three will be the same color? Express your answer as a common fraction
Mathematics
1 answer:
Studentka2010 [4]3 years ago
3 0

Answer:

  • 11/120

Step-by-step explanation:

  • Red = 3
  • Yellow = 5
  • Blue = 2

Possible options would be red or yellow as only two blue marbles.

<u>Probability of 3 red:</u>

  • 3/10*2/9*1/8 = 1/120

<u>Probability of 3 yellow:</u>

  • 5/10*4/9*3/8 = 1/12

<u>Probability of same three is:</u>

  • 1/120 + 1/12 = 11/120
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