equalityiskey
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A game is played as follows:

A coin is flipped 3 times.

If 3 heads come up, then you win $5.
If 2 heads come up, then you lose $5.
If 1 head comes up, then you lose $4.
If no heads (all tails) come up, then you win $4.
In two or more sentences, explain whether or not the game is fair.

Respuesta :

This game is not fair. No one will know wha their going to get. It is a game of probability

Answer:

Step-by-step explanation:

Given that A game is played as follows:

A coin is flipped 3 times.

If 3 heads come up, then you win $5.

If 2 heads come up, then you lose $5.

If 1 head comes up, then you lose $4.

If no heads (all tails) come up, then you win $4.

No of heads X     0    1    2     3

Prob              p     [tex]\frac{1}{8} , \frac{3}{8} ,\frac{3}{8} ,\frac{1}{8}[/tex]

Win                        5  -5   -4    4

Expected win of the game = Sum of win amount * Prob

=[tex]\frac{5}{8} +\frac{-15}{8}+ \frac{-12}{8} +\frac{4}{8} \\=\frac{-18}{8}[/tex]

Since expected value is not 0 the game is not fair.

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