Diane Has Decided to Play the Following Game of Chance

question 186

Multiple Choice

Diane has decided to play the following game of chance. She places a $1 bet on each repeated play of the game in which the probability of her winning $1 is 0.5. She has further decided to continue playing the game until she has either accumulated a total of $4 or has lost all her money. ​
What is the probability that Diane will eventually leave the game a winner if she started with a capital of $3?
​

• A) 0.47
• B) 0.77
• C) 0.96
• D) 0.75

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