Question

Cement your superior stochastic simulation skills by solving some straightforward simulation scenarios. Part A: Using a stochastic simulation, compute the probability that, from a shuffled standard deck of cards, two cards are sequentially chosen which have either identical value or adjacent value. You may let Aces be high or low, but not both. Part B: Using a stochastic simulation, compute the probability that, from a shuffled standard deck of cards, three cards are sequentially chosen which form a run, e.g. 4-5-6 or 9-10-J. (The cards do not need to be drawn in order, like 4,5,6.. any order is fine, like 6,4,5.) You may let Aces be high or low, but not both. Part C: When flipping over cards, sequentially, from a randomly shuffled deck, what the probability that the third Ace will be revealed between flips 16 and 24, inclusively? Part D: Using a stochastic simulation, determine the probability mass function for: the probability that the first card drawn is an X, given that the card was part of a 3-card sequence (as in Part B). Express your PMF as a bar graph. Explain why it has the shape that it has

Answer 1

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