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": "cagr", "description": "Calculates the Compound Annual Growth Rate (CAGR) of an investment.", "parameters": {"start_value": {"description": "The initial value of the investment.", "type": "float"}, "end_value": {"description": "The final value of the investment.", "type": "float"}, "years": {"description": "The number of years between the initial and final values.", "type": "int"}}}, {"name": "binomial_probability", "description": "Calculates the probability of getting exactly k successes in n independent trials,", "parameters": {"n": {"description": "The total number of trials.", "type": "int"}, "k": {"description": "The number of successes.", "type": "int"}, "p": {"description": "The probability of success in each trial.", "type": "float"}}}, {"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"}}}]
An investment starts with a value of 40000 dollars and grows to 60000 dollars after 15 years. Additionally, there is a binomial distribution with 30 trials and a success probability of 0.05. Find the CAGR, the probability of getting exactly 1 success, and the probability of rolling a sum of 18 with 8 six-sided dice.
user
assistant
[{"name": "cagr", "arguments": {"start_value": 40000, "end_value": 60000, "years": 15}}, {"name": "binomial_probability", "arguments": {"n": 30, "k": 1, "p": 0.05}}, {"name": "dice_roll_probability", "arguments": {"target_sum": 18, "num_dice": 8}}]