Please help! Correct answer only!

There is a spinner with 50 equally likely sections, numbered from 1 to 50. You have the opportunity to spin it. If the number is odd, you win $13. If the number is even, you win nothing. If you play the game, what is the expected payoff?

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Please help! Correct answer only! There is a spinner with 50 equally likely sections, numbered from 1 to 50. You have the opportunity to spin it. If the number class=

Answer :

Part 1 . " Spinner Problem "

Answer:

" Expected Payoff " ⇒ $ 6.5 ; Type in 6.5

Step-by-step explanation:

[tex]Spinner Sections - 50 Sections,\\Numbers On Spinner - 1 To 50,\\\\Odd = Even,\\Odd Numbers = 50 / 2 = 25,\\Even Numbers = Odd Numbers = 25,\\\\Probability Of Spinning Odd Number - 25 / 50 = ( Simplified ) 1 / 2,\\Money Won - 13 Dollars,\\\\Proportion - 1 / 2 = x / 13, Where - x = " Expected Payoff "\\\\1 / 2 = x / 13,\\2x = 13,\\x = 6.5 Dollars,\\\\Conclusion ; x = 6.5 Dollars[/tex]

Solution ; " Expected Payoff " $ 6.5

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Part 2 . " Ticket Problem "

Answer:

" Expected Payoff " ⇒ $ 1.80 ; Type in 1.80

Step-by-step explanation:

Take the probability of winning into consideration;

[tex]Total Number of Tickets - 500,\\Tickets 1 Person Can Enter - 1 Ticket,\\\\Probability of Winning - 1 / 500,\\Money Won - 900 Dollars,\\\\Proportionality - 1 / 500 = x / 900 - where, x = " Expected Payoff "\\1 / 500 = x / 900 - CrossMultiplication,\\\\500 * x = 900,\\x = 900 / 500,\\x = 1.80 Dollars Won!\\\\Conclusion ; x = 1.80 Dollars[/tex]

Solution ; " Expected Payoff " ⇒ $ 1.80

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