You draw two marbles without replacement from a bag containing three green marbles and four black marbles. the number of possible outcomes in the sample space is

There are 7 marbles in the bag and in the first attempt, all 7 marbles are there. After one marble is taken away, then we have 6 marbles to choose from. Therefore we will multiply 7*6 = 42. hence, there are 42 possible outcomes.

The possible outcome are : GG, GG, GB, GB, GB, GB, GG, GG, GB, GB, GB,  and so on.

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)

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