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": "cell_density", "description": "Calculates the cell density based on the optical density (OD) and dilution factor.", "parameters": {"od": {"description": "The optical density of the sample.", "type": "float", "default": 1000000000.0}, "dilution": {"description": "The dilution factor applied to the sample.", "type": "int", "default": 1000000000.0}, "factor": {"description": "The calibration factor for converting OD to cell density. Defaults to 1e9.", "type": "float, optional"}}}, {"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": "future_investment_value", "description": "Calculates the future value of an investment based on the present value, annual interest rate, and number of years.", "parameters": {"present_value": {"description": "The present value of the investment.", "type": "float"}, "annual_interest_rate": {"description": "The annual interest rate as a decimal (e.g., 0.05 for 5%).", "type": "float"}, "years": {"description": "The number of years the investment will grow.", "type": "int"}}}]
You are playing a card game where the deck has 52 cards, and you want to know the probability of drawing 5 cards with exactly 2 face cards. Also, you want to calculate the probability of drawing 3 cards with exactly 1 face card from a deck of 36 cards. What are the probabilities for these scenarios?
user
assistant
[{"name": "calculate_card_game_probability", "arguments": {"total_cards": 52, "desired_cards": 12, "cards_drawn": 5}}, {"name": "calculate_card_game_probability", "arguments": {"total_cards": 36, "desired_cards": 9, "cards_drawn": 3}}]