E Question Help A game is played using one die. If the die is rolled and shows 1, the player wins $35. If the die shows any number other than 1, the player wins nothing. Complete parts (a) through (b) below. a lf there is a charge of $7 to play the game, what is the game's expected value? (Round to the nearest cent.)

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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Question 9

**Educational Website: Game Probability and Expected Value Calculation**

**Game Description:**
A game is played using one die. If the die is rolled and shows a 1, the player wins $35. If the die shows any number other than 1, the player wins nothing.

**Question:**
a. If there is a charge of $7 to play the game, what is the game’s expected value?

**Calculation Prompt:**
- Round your answer to the nearest cent.

To participate, enter your answer in the provided answer box and click "Check Answer."

**Instruction:**
1. Calculate the probability of winning (rolling a 1).
2. Determine the expected value considering the win and the cost to play.
3. Subtract the cost from the expected gain to find the net expected value.

Feel free to check your understanding and apply the probability concept to solve the problem.
Transcribed Image Text:**Educational Website: Game Probability and Expected Value Calculation** **Game Description:** A game is played using one die. If the die is rolled and shows a 1, the player wins $35. If the die shows any number other than 1, the player wins nothing. **Question:** a. If there is a charge of $7 to play the game, what is the game’s expected value? **Calculation Prompt:** - Round your answer to the nearest cent. To participate, enter your answer in the provided answer box and click "Check Answer." **Instruction:** 1. Calculate the probability of winning (rolling a 1). 2. Determine the expected value considering the win and the cost to play. 3. Subtract the cost from the expected gain to find the net expected value. Feel free to check your understanding and apply the probability concept to solve the problem.
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