To determine the total number of possible outcomes for Misaki's marble after Rin pulls out a blue marble, we can start by calculating the total number of marbles currently in the bag before any marble is removed.
Initially, Yuto's bag contains:
- Red marbles: 3
- Blue marbles: 5
- Green marbles: 2
- Yellow marbles: 8
Calculating the total number of marbles: \[ 3 , (\text{red}) + 5 , (\text{blue}) + 2 , (\text{green}) + 8 , (\text{yellow}) = 18 , \text{marbles} \]
After Rin pulls out one blue marble, the number of each type of marble remaining in the bag is as follows:
- Red marbles: 3 (unchanged)
- Blue marbles: 5 - 1 = 4
- Green marbles: 2 (unchanged)
- Yellow marbles: 8 (unchanged)
Now calculate the new total number of marbles in the bag after Rin's action: \[ 3 , (\text{red}) + 4 , (\text{blue}) + 2 , (\text{green}) + 8 , (\text{yellow}) = 17 , \text{marbles} \]
Thus, there are 17 possible outcomes (types of marbles) for Misaki's marble.
The answer is \(\boxed{17}\).
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