(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A coin can be flipped amaximumof 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 orderonehead is obtained.

What is the expected gain

2. Relevant equations

Binomial Distribution.

E(x) = Sum of ((x) . P(x))

3. 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.

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# Homework Help: Binomial Distribution.

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