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A biased coin is flipped. The probability of getting heads is 80%. A player wins $2 each time he gets tails, and a game involves 10 tosses. What is the expected value of the money earned in a game?

Respuesta :

merlynthewhizz
The probability of getting tail in one toss is 100% - 80% = 20%

In 10 tosses, the relative frequency to get tail is 0.2 × 10 = 2 times

Expected value of money earn = 2 × $2 = $4

Answer:

Expected value of the money earned in the game is:

 $4

Step-by-step explanation:

In flipping a coin the probability of getting heads is 80%.

That means,The probability of getting tail  is 100% - 80% = 20%

In 10 tosses, the number of times we will get tail is:

         [tex]\dfrac{20\times 10 }{100}[/tex]

         = 2 times

Hence, Expected value of money earned in the game = 2 × $2 = $4

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