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The prizes that can be won in a sweepstakes

Question

The prizes that can be won in a sweepstakes are

listed below together with the chances of winning each one.

$ 5 comma 600 left parenthesis 1 chance in 8 comma 200 right parenthesis

$5,600 (1 chance in 8,200)

$ 2 comma 300 left parenthesis 1 chance in 5 comma 600 right parenthesis

$2,300 (1 chance in 5,600)

$ 800 left parenthesis 1 chance in 4 comma 100 right parenthesis

$800 (1 chance in 4,100)

$ 100 left parenthesis 1 chance in 2 comma 800 right parenthesis

$100 (1 chance in 2,800)

Find the expected​ value, rounded to the nearest​ cent, of the amount won for one entry if the cost of entering is 70

70 cents.

A.

​$100

B.

​$0.61

C.

​$1.29

D.

​$0.62

 
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