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prime-factor
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Homework Statement
A coin can be flipped a maximum of four times
The following conditions exist:
H(first) = $1
H(second) = $2
H(third) = $3
H(fourth) = $4
Where H = Heads
And first, second, third and fourth, refer to what order one head is obtained.
What is the expected gain
Homework Equations
Binomial Distribution.
E(x) = Sum of ((x) . P(x))
The Attempt at a Solution
Drew up a binomial distribution:
Combination are as follows:
HHHH
HHHT
HHTH
HHTT
HTHH
HTHT
HTTH
HTTT
THHH
THHT
THTH
THTT
TTHH
TTHT
TTTH
TTTT
It ends up being (8/16) for each one which is equal to half which is the same for each one. Where have I gone wrong? Please help.