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 number of possible outcomes in the sample space is 42.
It is given that the there are 3 marbles and 4 marbles in the bag.
It is required to find possible outcomes in the sample space.
A permutation can be defined as the number of ways a set can be arranged, order matters but in combination the order does not matter.
We have:
Green marbles = 3
Black marbles = 4
Total marbles = 7
If we taken out one marble from the bag then there are total 6 marble left after we have to one more marble out of 6 so the number of possible outcome:
= 7×6
= 42
Thus, the number of possible outcomes in the sample space is 42.
Learn more about permutation here:
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