1. **State the problem:** We want to find the probability that Samuel chooses Rock in Game 1 and then Scissors in Game 2.
2. **Identify the probabilities from the tree diagram:**
- Probability of choosing Rock in Game 1 is 20%, or $0.20$.
- Given he chose Rock in Game 1, the probability of choosing Scissors in Game 2 is 23%, or $0.23$.
3. **Use the multiplication rule for independent events:**
The probability of both events happening in sequence is the product of their probabilities:
$$P(\text{Rock then Scissors}) = P(\text{Rock in Game 1}) \times P(\text{Scissors in Game 2 | Rock in Game 1})$$
4. **Calculate the probability:**
$$P = 0.20 \times 0.23 = 0.046$$
5. **Interpret the result:**
The probability that Samuel chooses Rock first and then Scissors is $0.046$, or 4.6%.
Rock Then Scissors 727560
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