Problem 4 Playing Cards Suppose you have a deok of 52 playing cards and you draw 2 cards at random (without replacement). a. The probability that you will draw two cards of the same rank (e.g., two 7s, two Kings, etc.) from a standard deck of 52 cards is 13x¹C₂ ≈ 0.0588 Perform a data generation process and verify that the simulated probability is nearly close to this value for a sufficiently large simulation runs. Explain each code line and its output. b. Suppose you draw 5 cards at random (without replacement). What is the probability that you will draw a full house OR four of a kind? Reminder: A full house means 3 of one value card and 2 of another value card (for example, three kings and two 8s); four of a kind means 4 cards of the same value. NOTE: even if you can't fully solve this, describe the approach you would take and what principles or theorems you might make use of, and make as much progress as you can.

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