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The Sleeping Beauty problem (Posted on 2018-01-22) Difficulty: 3 of 5
Some researchers are going to put you to sleep.

During the two days that your sleep will last, they will briefly wake you up either once or twice, depending on the toss of a fair coin (Heads: once; Tails: twice). After each waking, they will put you to back to sleep with a drug that makes you forget that waking.

When you are first awakened, to what degree ought you believe that the outcome of the coin toss is Heads?

No Solution Yet Submitted by Jer    
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Solution solution | Comment 1 of 4
In the long run you will be awakened twice as often when the coin comes up tails as heads, and you have no memory of what has happened, it is 1/3 probable it came up heads. 

Edited on January 22, 2018, 12:34 pm
  Posted by Charlie on 2018-01-22 12:29:25

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