Math Problem Statement

Kira has a deck of 10 cards numbered 1 through 10 . She is playing a game of chance.

This game is this: Kira chooses one card from the deck at random. She wins an amount of money equal to the value of the card if an even numbered card is drawn. She loses $7 if an odd numbered card is drawn. (a)Find the expected value of playing the game. dollars.

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Expected Value

Formulas

Expected Value formula: E = sum(probability of outcome * value of outcome)

Theorems

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Suitable Grade Level

Grades 9-12