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User Asics
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1 Answer

3 votes

Answer: F. $1.25

Step-by-step explanation:

First, we need to find the probability of the coin landing faceup and facedown. We know that landing faceup is 3 times the probability of landing facedown. Since the highest probability is 1 (100%):


\begin{gathered} 3x+x=1 \\ 4x=1 \\ x=(1)/(4)=0.25 \end{gathered}

With this, we know that:

probability of the coin landing faceup = 3×0.25 = 0.75

probability of the coin landing facedown = 0.25

To find the expected value of each toss, we need to solve for the total of each value multiplied by its probability:


\begin{gathered} EV=\$1(0.75)+\$2(0.25) \\ EV=\$1.25 \end{gathered}

Therefore, the expected value of each toss of Coin C is $1.25

User Pabloelustondo
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