The expected value of the game is $2.00.
To Find: The fair price to pay to play the game of rolling a colored die with three red sides, two green sides, and one blue side
Now the question arises how to find the Fair Price
We are told that in the game of rolling the colored die;
A roll of a red loses.
A roll of blue pays 5.00 and A roll of green pays 2.00.
Now, the best game to get the fairest price is to play; RRRGGB i.e (RED, RED, RED, GREEN, GREEN,BLUE)
Fair price = 2(3/6) + 6(1/6) + 0(2/6)
Fair price = $2
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36; there are 6 letters in the word school so if you multiple it by 6 which is the amount of different places one letter could be, the result would be 36
Answer:
flour $42 , bag of sugar $58
Step-by-step explanation:
let f represent flour and s represent sugar, then
7f + 5s = 584 → (1)
5f + 3s = 384 → (2)
Multiplying (1) by 3 and (2) by - 5 and adding will eliminate s
21f + 15s = 1752 → (3)
- 25f - 15s = - 1920 → (4)
Add (3) and (4) term by term to eliminate s , that is
- 4f = - 168 ( divide both sides by - 4 )
f = 42
Substitute f = 42 into either of the 2 equations and solve for s
Substituting into (1)
7(42) + 5s = 584
294 + 5s = 584 ( subtract 294 from both sides )
5s = 290 ( divide both sides by 5 )
s = 58
The cost of a bag of flour is $42 and cost of sugar is $58
