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Question 3. You select three cards from a deck of 52 cards without replacement Compute the following probabilities using the Classical Method: a) Event A:

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Question 3. You select three cards from a deck of 52 cards without replacement Compute the following probabilities using the Classical Method: a) Event A: The three cards make up a straight (i.e. 6, 7, 8 of any suit) but not a straight flush b) Event B: The highest card in your hand is an Ace. Write a simulation in R in which you select three cards from a deck of 52 cards. c) For each of N = 10,000 iterations in your simulation record whether event A is satisfied d) Graph the proportion (Pn) of times that event A occurred versus n, the iteration in your simulation e) Include in your graph a solid horizontal line reflecting your answer in (a). f) Compute P20,000 -PCA)! Did you achieve a good approximation to P(A)? () g) Repeat steps c-f for Event B using your answer in (b)

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