Three marbles are randomly selected, without replacement, from a bag containing two red, two blue and two green marbles. What is the probability that one marble of each color is selected? Express your answer as a common fraction.

HelpBot Oct 2, 2020

#1**0 **

*Three marbles are randomly selected, without replacement, from a bag containing two red, two blue and two green marbles. What is the probability that one marble of each color is selected? Express your answer as a common fraction.*

The first marble can be anything.

The probability of pulling out one is 1. the probability of this happening is 1 (1)

There are 5 marbles left and 4 of them

are suitable. The probability of pulling

out one of those four is 4/5. the probability of this and (1) happening is 1 • 4/5 = 4/5 (2)

There are 4 marbles left and 2 of them

are suitable. The probability of pulling

out one of those two is 2/4. the probability of this and (2) happening is 1 • 4/5 • 2/4 = 8/20 (3)

Reducing the fraction in (3) to lowest terms, the probability of getting one of each color is **2/5**

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Guest Oct 2, 2020