Bayes theorem - posterior probability

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Let's suppose, that we have 6 aces and two players. Two aces are hearts, two diamonds and two spades.

The exercise says, that the first player picked two spades. The exercise asks me to determine aposteriori values of the possible combinations for the second player.

My attempt: possible combination for the 2nd player are: - two hearts, - two diamonds, - heart, diamond

If the player gets the one of these combination the probability of "heart diamond" should be twice higher than that of two hearts, two diamonds. I can add: - diamond, spade - heart spade

What's the logic behind posteriori probability? I know that it has to do something with conditional probability, but I cannot imagine how.