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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 ______.

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=810=2
moneyreceivedwhenTH=10+8=2
moneyreceivedwhenTT=1010=20
averagemoneygained=1622204
=84=2

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