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Paha777 [63]
3 years ago
6

Darius is offered a choice between two gambles on a fair coin flip: (1) pay $100, win $110 on either heads or tails. (2) pay $10

0, win $120 on heads and $70 on tails. darius chooses (2). what sort of attitude does this choice reveal?
Mathematics
1 answer:
Helga [31]3 years ago
8 0
I guess it shows he is ok with taking risks.
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djyliett [7]

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See below

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\tan A+\tan B + \tan A.\tan B = 1\\\\ \implies \: \tan A +  \tan B =  1 -  \tan A.\tan B  \\  \\ \implies \:  \frac{\tan A +  \tan B}{ 1 -  \tan A.\tan B } = 1\\  \\ \implies \:  \tan (A +  B) = 1 \\  \\ \implies \:  \tan (A +  B) =\tan 45 \degree \\  \\ \implies \:  A +  B = 45 \degree \\  \\  thus \: proved

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