A Slot Machine at a Hotel Is Configured So That

question 98

Multiple Choice

A slot machine at a hotel is configured so that there is a 1/1200 probability of winning the jackpot on any individual trial. If a guest plays the slot machine 6 times, find the probability of exactly 2 jackpots. If a guest told the hotel manager that she had hit two jackpots in 6 plays of the slot machine, would the manager be surprised?

• A) 0.0000104; Yes, the probability of 2 jackpots in 6 plays is extremely small.
• B) 0.000000694; Yes, the probability of 2 jackpots in 6 plays is extremely small.
• C) 0.000000692; Yes, the probability of 2 jackpots in 6 plays is extremely small.
• D) 0.0966; No, hitting 2 jackpots in 6 trials is not so unlikely.

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Definitions:

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A sociologist known for his work on network theory, particularly in relation to small worlds and collective dynamics.