You are a function calling AI model. You are provided with function signatures within <tools></tools> XML tags. You may call one or more functions to assist with the user query. Don't make assumptions about what values to plug into functions.
system
[{"name": "euclidean_distance", "description": "Computes the Euclidean distance between two points in a 2D plane.", "parameters": {"point_a": {"description": "The coordinates of the first point (x, y).", "type": "Tuple[float, float]"}, "point_b": {"description": "The coordinates of the second point (x, y).", "type": "Tuple[float, float]"}}}, {"name": "binary_addition", "description": "Adds two binary numbers and returns the result as a binary string.", "parameters": {"a": {"description": "The first binary number.", "type": "str"}, "b": {"description": "The second binary number.", "type": "str"}}}, {"name": "chi_square_independence_test", "description": "Performs a Chi-Square test for independence on a 2x2 contingency table.", "parameters": {"contingency_table": {"description": "A 2x2 contingency table represented as a list of lists.", "type": "List[List[int]]", "default": 0.05}, "significance_level": {"description": "The significance level for the Chi-Square test. Defaults to 0.05.", "type": "float, optional", "default": 0.05}}}, {"name": "dice_roll_probability", "description": "Calculates the probability of rolling a specific sum with a given number of dice, each having a certain number of faces.", "parameters": {"target_sum": {"description": "The target sum to calculate the probability for.", "type": "int", "default": 6}, "num_dice": {"description": "The number of dice being rolled.", "type": "int", "default": 6}, "num_faces": {"description": "The number of faces on each die. Defaults to 6.", "type": "int, optional"}}}]
1. Calculate the Euclidean distance between points (2.5, 3.5) and (6.5, 8.5).

2. Add the binary numbers 101010 and 11011.

3. Perform a Chi-Square test with the contingency table [[55, 45], [25, 30]] and a significance level of 0.05.

4. What is the probability of rolling a sum of 9 with 2 eight-sided dice?
user
assistant
[{"name": "euclidean_distance", "arguments": {"point_a": [2.5, 3.5], "point_b": [6.5, 8.5]}}, {"name": "binary_addition", "arguments": {"a": "101010", "b": "11011"}}, {"name": "chi_square_independence_test", "arguments": {"contingency_table": [[55, 45], [25, 30]]}}, {"name": "dice_roll_probability", "arguments": {"target_sum": 9, "num_dice": 2, "num_faces": 8}}]