4. A hand of 5 cards from a standard 52-card deck is called a straight if it consists of 5 cards with consecutive face v

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4 A Hand Of 5 Cards From A Standard 52 Card Deck Is Called A Straight If It Consists Of 5 Cards With Consecutive Face V 1 (284.25 KiB) Viewed 107 times

4. A hand of 5 cards from a standard 52-card deck is called a straight if it consists of 5 cards with consecutive face values. (Note that the suits of the cards do not matter.) For example: $7–46 05-0443 is a straight. Note that an ace can either be at the high end (as in A-K-Q-J-10) or at the low end (as in 5-4-3-2-A), but cannot be in the middle (such as in 3-2-A-K-Q). Furthermore, a hand of 5 cards is called a straight flush if it is a straight and all cards are from the same suit. Finally, a hand of 5 cards is called a royal flush if it is a straight flush with an ace at the high end. (a) (3 Points) Specify the relevant probability space (22, F, Pr). (b) (3 Points) What is the probability of getting a straight? Show your calculations. In particular, specify the event you are interested in. (c) (3 Points) What is the probability of getting a straight flush? Show your calculations. In particular, specify the event you are interested in. (d) (1 Point) What is the probability of getting a royal flush? Show your calculations. In particular, specify the event you are interested in. (e) (1 Point) How much more likely is it to get a straight than a straight flush? I.e., what is the ratio of the probability of getting a straight and the probability of getting a straight flush? (f) (1 Point) How much more likely is it to get a straight flush than a royal flush? I.e., what is the ratio of the probability of getting a straight flush and the probability of getting a royal flush?