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John is a gambler who visits the casino each week. Each Friday, after John is paid...

John is a gambler who visits the casino each week. Each Friday, after John is paid at work, he will withdraw $150 to play a particular dice game at the casino. He will pay $50 to roll a dice. If the dice roll is between 1 and 3, he gets nothing. If a 4, 5 or 6 is rolled, the casino will give him $50, $100, and $150 respectively. John will play as many rounds as needed until he either at least doubles his money (can leave with $300 or more) or he loses it all.

What is the expected number of rounds that John plays during any particular visit to the casino?

math   Statistics-And-Probability   
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