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Question
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 ______.
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 ______.
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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
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
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