Engineering Board Exam Reviewer · Odds and Mathematical Expectation · hard
A fair coin is tossed until a head appears, up to a maximum of 3 tosses. If the first head appears on toss n, the player wins P2n; if no head appears, the player wins nothing. Find the expected winnings.
- P4
- P3
- P2
- P7
Answer
B. P3
Solution
P( first head on toss n)=≤ft( 12 )n. E= 12(2)+ 14(4)+ 18(8)=1+1+1=P3.
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