Two coins are tossed simultaneously. A person receives Rs. 8 for each head and loses Rs.10 for each tail. The expected value of the amount gained by him is ______.
A
1
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B
-2
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C
3
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D
-3
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Solution
The correct option is B -2 for2coinstossed samplespace=[hh,ht,th,tt] moneyreceivedwhenHH=16 moneyreceivedwhenHT=8−10=−2 moneyreceivedwhenTH=−10+8=−2 moneyreceivedwhenTT=−10−10=−20 averagemoneygained=16−2−2−204 =−84=−2