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": "bacterial_growth", "description": "Calculates the bacterial population after a given time based on the initial population and growth rate.", "parameters": {"initial_population": {"description": "The initial bacterial population.", "type": "int", "default": 20}, "growth_rate": {"description": "The growth rate per unit time.", "type": "float", "default": 20}, "time": {"description": "The time elapsed.", "type": "float"}, "doubling_time": {"description": "The doubling time of the bacteria in minutes. Defaults to 20.", "type": "float, optional"}}}, {"name": "count_bits", "description": "Counts the number of set bits (1's) in the binary representation of a number.", "parameters": {"num": {"description": "The input number.", "type": "int"}}}, {"name": "calculate_card_game_probability", "description": "Calculate the probability of drawing a certain number of desired cards from a deck.", "parameters": {"total_cards": {"description": "Total number of cards in the deck.", "type": "int"}, "desired_cards": {"description": "Number of cards in the deck that satisfy the conditions.", "type": "int"}, "cards_drawn": {"description": "Number of cards drawn from the deck.", "type": "int"}}}, {"name": "note_duration", "description": "Calculates the duration between two musical notes based on their frequencies and the tempo.", "parameters": {"freq1": {"description": "The frequency of the first note in Hz.", "type": "int", "default": 120}, "freq2": {"description": "The frequency of the second note in Hz.", "type": "int", "default": 120}, "bpm": {"description": "The tempo of the music in beats per minute. Defaults to 120.", "type": "int, optional"}}}]
Calculate the probability of drawing 3 aces from a deck of 52 cards if you draw 5 cards.
user
assistant
[{"name": "calculate_card_game_probability", "arguments": {"total_cards": 52, "desired_cards": 4, "cards_drawn": 5}}]