What is the probability in decimals that one card's position is unchanged after a hard shuffle of 4 sets of 52 cards each?
(answer in decimals)

A certain website gives recharges for solving puzzles correctly. One of the users has faith most of the puzzles have wrong answers in the database. Overall 2 percent of puzzles have wrong answers. If a puzzle has wrong answer, user is right 90 percent of the time. If puzzle does not, user thinks it is wrong 20 percent of the time. If the user thinks certain puzzle has a wrong answer, what is the probability that puzzle actually has a wrong answer?
( Please use the correct bayesian model. Ans up to two decimals. This shall solve their doubts.)..

"Answer in decimals"? You want us to do your homework down to decimals?

No one here is stupid - this is obviously homework.

What formula would you use?

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