Title: Understanding Probability in a Carnival Game**Introduction:**In this study, we will examine a traditional carnival game. In this game, the player rolls a single die. The game's rules and outcomes are as follows:- If the roll is a 1, you win $1.00.- If the roll is a 2, 3, or 4, you lose $1.00.- You win $3.00 if you roll a 5 or 6.**Objective:**Find the expected value of this game by completing the table. The probabilities should be rounded to three decimal places, and products should be rounded to the nearest cent.**Table Analysis:**| Result | Outcome (X) | Probability P(X) | Product X·P(X) ||----------------|-------------|------------------|----------------|| 1 | $1 | | || 2, 3, 4 | -$1 | | || 5, 6 | $3 | | |- **X - $:** Represents the calculation part involving the outcomes and probabilities.To calculate the expected value, fill in the probabilities for each outcome based on the number of favorable outcomes divided by the total number of possibilities (6 sides of the die). Multiply the outcome by its probability and sum these values to determine the expected value of the game.**Conclusion:**This exercise focuses on calculating the expected value, enhancing understanding of basic probability concepts in a playful and engaging manner.

We will study a traditional carnival game that we just now made up. The player rolls a single die. If the roll is 1, you win $1.00. You lose $1.00 if you roll a 2, 3, or 4. You win $3.00 if you roll a 5 or 6. Part: 0/4 Part 1 of 4 Find the expected value of this game. Complete the table. Round the probabilities to three decimal places and products to the nearest cent. Result Outcome (X) Probability P(X) Product X-P(X) 1 S 2,3,4 5,6 -$0 S 1 5

We will study a traditional carnival game that we just now made up. The player rolls a single die. If the roll is 1, you win $1.00. You lose $1.00 if you roll a 2, 3, or 4. You win $3.00 if you roll a 5 or 6. Part: 0/4 Part 1 of 4 Find the expected value of this game. Complete the table. Round the probabilities to three decimal places and products to the nearest cent. Result Outcome (X) Probability P(X) Product X-P(X) 1 S 2,3,4 5,6 -$0 S 1 5

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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