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FunGames have developed some code that outputs whether a gamer is a man or a woman, depending on the type of games they play. Assume that 60% of gamers are men. If gamer A is a man, then the code will output 'Man' with a probability of 80%. If gamer A is a woman, the output of the code will be 'Woman' with a probability of 70%.

Assume that the code outputs that gamer A is a man. What is the probability that gamer A is actually a man?

EDIT: Thanks for the link, Blaza. I get, the probability as (0.48/(0.48 + 0.08)) = approx 85.714%. Does that seem correct?

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    Have you tried anything? – 2017-02-07
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    P(a gamer is a man) = 0. – 2017-02-07
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    Look up Bayes' theorem. Here's a [nice article](https://betterexplained.com/articles/an-intuitive-and-short-explanation-of-bayes-theorem/#Bayes_Theorem) – 2017-02-07

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