In this game, two chips are placed in a cup. One chip has two red sides and one chip has a red and a blue side. The player shakes the cup and dumps out the chips. The player wins if both chips land red side up and loses if one chip lands red side up and one chip lands blue side up. The cost to play is $4 and the prize is worth $6. Is this a fair game. = Win a prize = Do not win a prize 1. Start by determining the probabilities for winning a prize and not winning a prize. Draw a probability tree to find the possible outcomes and the probabilities. After you draw the tree, check you work by clicking on the link below. Click to hide hint CHIP 1 CHIP 2 Probability 0.5 P(Red) & P(Red) =P(R) - P(R) = 0.5 . 0.5 = 0.25 05 0.5 P(Red) & P(Blue) = P(R) - P(B) = 0.5 - 0.5 = 0.25 Start- 0.5 P(Red) & P(Red) = P(R) - P(R) = 0.5 - 0.5 = 0.25 0.5 P(Red) & P(Blue) = P(R) - P(B) = 0.5 -0.5 = 0.25

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
Problem 60SE: In a bag, a child has 325 coins worth $19.50. There were three types of coins: pennies, nickels, and...
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2. Create the probability distribution of the game. Fill in the missing
parts of the chart.
x + Number of Red Chips P(x)
Result
1
Lose +
2
Win +
3. Now find the expected value.
x, Number of red chips X → Net Money Won or Lost
P(x)
1
+ + $
4. What is the expected Value?
Transcribed Image Text:2. Create the probability distribution of the game. Fill in the missing parts of the chart. x + Number of Red Chips P(x) Result 1 Lose + 2 Win + 3. Now find the expected value. x, Number of red chips X → Net Money Won or Lost P(x) 1 + + $ 4. What is the expected Value?
In this game, two chips are placed in a cup. One chip has two red sides
and one chip has a red and a blue side. The player shakes the cup and
dumps out the chips. The player wins if both chips land red side up and
loses if one chip lands red side up and one chip lands blue side up. The
cost to play is $4 and the prize is worth $6. Is this a fair game.
= Win a prize
= Do not win a prize
1. Start by determining the probabilities for winning a prize and not
winning a prize. Draw a probability tree to find the possible outcomes
and the probabilities. After you draw the tree, check you work by
clicking on the link below.
Click to hide hint
CHIP 1
CHIP 2
Probability
P(Red) & P(Red) = P(R) - P(R) = 0.5. 0.5 = 0.25
0.5
0.5
0.5
P(Red) & P(Blue) = P(R) - P(B) = 0.5.0.5 = 0.25
Start
0.5
0.5
P(Red) & P(Red) = P(R) - P(R) = 0.5. 0.5 = 0.25
0.5
P(Red) & P(Blue) = P(R) - P(B) = 0.5.0.5 = 0.25
Transcribed Image Text:In this game, two chips are placed in a cup. One chip has two red sides and one chip has a red and a blue side. The player shakes the cup and dumps out the chips. The player wins if both chips land red side up and loses if one chip lands red side up and one chip lands blue side up. The cost to play is $4 and the prize is worth $6. Is this a fair game. = Win a prize = Do not win a prize 1. Start by determining the probabilities for winning a prize and not winning a prize. Draw a probability tree to find the possible outcomes and the probabilities. After you draw the tree, check you work by clicking on the link below. Click to hide hint CHIP 1 CHIP 2 Probability P(Red) & P(Red) = P(R) - P(R) = 0.5. 0.5 = 0.25 0.5 0.5 0.5 P(Red) & P(Blue) = P(R) - P(B) = 0.5.0.5 = 0.25 Start 0.5 0.5 P(Red) & P(Red) = P(R) - P(R) = 0.5. 0.5 = 0.25 0.5 P(Red) & P(Blue) = P(R) - P(B) = 0.5.0.5 = 0.25
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