A game is said to be fair if the expected value (after considering the cost) is 0. This would mean that in the long run, both the player and the "house" or whoever is putting on the game, would expect to win nothing. If the value is positive, the game is in your favor. If the value is negative, the game is not in your favor. At a carnival, you pay $1 to choose a card from a standard deck. If you choose a red card you double your money, but if you pick a black card you do not get any. (A standard deck of cards has 52 card. 26 of the cards are red.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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A game is said to be fair if the expected value (after considering the
cost) is 0. This would mean that in the long run, both the player and the
"house" or whoever is putting on the game, would expect to win
nothing.
If the value is positive, the game is in your favor. If the value is negative,
the game is not in your favor. At a carnival, you pay $1 to choose a card
from a standard deck. If you choose a red card you double your money,
but if you pick a black card you do not get any. (A standard deck of
cards has 52 card. 26 of the cards are red.)
10
**
•••
Transcribed Image Text:A game is said to be fair if the expected value (after considering the cost) is 0. This would mean that in the long run, both the player and the "house" or whoever is putting on the game, would expect to win nothing. If the value is positive, the game is in your favor. If the value is negative, the game is not in your favor. At a carnival, you pay $1 to choose a card from a standard deck. If you choose a red card you double your money, but if you pick a black card you do not get any. (A standard deck of cards has 52 card. 26 of the cards are red.) 10 ** •••
1. Complete the probability distribution below.
Color of card x → Net Money Won or Lost
P(x)
Red
+ + $
Black
Click to view hint
2. What is the expected value?
Click to view hint
3. Does the player or the carnival have the advantage?
Neither the player or the carnival +
4. Is this a fair game? Yes +
Transcribed Image Text:1. Complete the probability distribution below. Color of card x → Net Money Won or Lost P(x) Red + + $ Black Click to view hint 2. What is the expected value? Click to view hint 3. Does the player or the carnival have the advantage? Neither the player or the carnival + 4. Is this a fair game? Yes +
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