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Kuzey plays a game with a fair die. If die shows an even number, he gains 187 TL, if the die shows 1 or 3, then he gains 141
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Expected gain is : gains weighted by the probability of each event to happen.

p(even) = 3/6 as there are 3 even (2,4,6) out of the 6 numbers on dice, you get a win of 187 TL on an even number.
p(1 or 3) = 2/6 , you get a win of 141 TL on a roll of 1 or 3
p(5) = 1/6 , you get a loss of 265 TL on a 5

Therefore, this becomes :

= (187*3/6) + (2/6)*141 + (1/6)*-265

= 96.33 TL

Answer: d. 96.33 TL

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