A game has 3 possible outcomes, with probabilities p1, p2, and p3. The amount of money that you will win or lose for each outcom
2 answers:
Answer:
Step-by-step explanation:
Given that a game has 3 possible outcomes, with probabilities p1, p2, and p3
The amount win or lose for each outcome is v1, v2, and v3, respectively.
If X is the amount of win or lose then x has the following prob distribution
Hence Expected value of x = average of x
=
Thus answer is
Option b) The average amount you will win (or lose) per game in the long run.
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the assumption being that the first machine is the one on the left-hand-side and the second is the one on the right-hand-side.
the input goes to the 1st machine and the output of that goes to the 2nd machine.
a)
if she uses and input of 6 on the 2nd one, the result will be 6² - 6 = 30, if we feed that to the 1st one the result will be √( 30 - 5) = √25 = 5, so, simply having the machines swap places will work to get a final output of 5.
b)
clearly we can never get an output of -5 from a square root, however we can from the quadratic one, the 2nd machine/equation.
let's check something, we need a -5 on the 2nd, so
so if we use a "1" as the output on the first machine, we should be able to find out what input we need, let's do that.
so if we use an input of 6 on the first machine, we should be able to get a -5 as final output from the 2nd machine.