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kenny6666 [7]
3 years ago
9

What is the probability of rolling a 6-sided die and getting a 4 or a number divisible by 3?

Mathematics
1 answer:
Evgen [1.6K]3 years ago
3 0

Event A = rolling a 4 on a single die

Event B = rolling a number divisible by 3 (3 or 6) on a single die

There are three outcomes possible in total if either event A happens or event B happens. This is out of six outcomes total.

Divide the values and reduce: 3/6 = 1/2

Final Answer: 1/2

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Mr. Wayne uses his cell phone for work. He is reimbursed $45.95 each month. How much will Mr. Wayne himself pay for his family's
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Answer:

$1654.20

Step-by-step explanation:

There are 12 months in a year. There are 36 months in 3 years. If he gets charged $45.95 each month for 3 years or 36 months, he pays:

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8 0
3 years ago
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4 0
2 years ago
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Consider two competing firms in a declining industry that cannot support both firms profitably. Each firm has three possible cho
yaroslaw [1]

Answer:

a) attached below

b)  ( T,T )

c) The Pure-strategy Nash equilibria are : ( N,E ) and ( E,N )

d) The mixed-strategy Nash equilibrium for Firm 1 = ( 1/3 , 0, 2/3 )

while the mixed -strategy Nash equilibrium for Firm 2 = ( 1/3 , 0, 2/3 )

Step-by-step explanation:

A) write down the game in matrix form

let: E = exit at the industry immediately

     T = exit at the end of the quarter

     N = exit at the end of the next quarter

matrix is attached below

B) weakly dominated strategies is ( T,T )

C) Find the pure-strategy Nash equilibria

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D ) Find the unique mixed-strategy Nash equilibrium

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while the mixed -strategy Nash equilibrium for Firm 2 = ( 1/3 , 0, 2/3 ) since T is weakly dominated then the mixed strategy will be NE

Assume that P is the probability of firm 1 exiting immediately ( E )

and q is the probability of firm 1 staying till next term ( N ) ∴ q = 1 - P.

hence the expected utility of firm 2 choosing E = 0 while the expected utility of choosing N = 4p - 2q .

The expected utilities of E and N to firm 2 =

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3 years ago
What is answer to this equation 7x-4=2
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7x=2+4
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