There are two jars (jar A and jar B).

Jar A is composed of 50% red balls, and 50% blue balls. Jar B is composed of 60% red balls, and 40% blue balls.

You play the following game: you toss a biased coin (which has probability of heads 0.8), and if it comes up heads you pick a ball randomly from jar A, otherwise you pick a ball randomly from jar B.

You play the game and end up with a blue ball, what is the probability that this blue ball came from jar A?