Problem 3.Suppose we deal a 5-card hand from a regular 52-card deck. Which islarger, P (exactly 2 kings) or P(exactly 4 diamonds)?Before continuing, take a moment to guess which one is more likelyPlease solve both analytically and use R to simulate and provideprobabilities.

Suppose we deal 5 card hand from a regular 52 card deck.

Answered: Problem 3. Suppose we deal a 5-card…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Delaney is about to take a final exam that consists of 20 questions. To motivate her to study, her parents promised her $500 if she gets at least 17 questions right. The questions are multiple choice and the probability of her getting a question right is 0.75 on each question of the final exam. What is the probability that she gets exactly 17 questions right? What is the probability that she gets at least 17 questions right?
You draw a card from a deck of 52 cards. If the card is a spade, you win $5, but if the card is not a spade you lose $2.What is your expected earning from this game?
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A friend proposes a gamble to you. You roll 2 fair, six-sided dice, and add up the results of each die to find your total number. If your roll totals a 6 or 8, your friend pays you $30. If you roll any other total, you pay your friend $10. What is your expected payoff from playing this game 100 times?.
A coffee shop has a "manager surprise" drink that randomly chooses among 4 drinks. If Lee goes to the coffee shop for 3 days, what are the odds Lee would have been given the same drink all 3 days?
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Problem 3. Suppose we deal a 5-card hand from a regular 52-card deck. Which is larger, P (exactly 2 kings) or P(exactly 4 diamonds) ? Before continuing, take a moment to guess which one is more likely Please solve both analytically and use R to simulate and provide probabilities.