progressive college experiments with matching roommates at random, regardless of gender or how cool that person is (or you are). Suppose the joint distribution of gender and coolness is:   +----------------------------+   |           Cool       Lame |   |----------------------------| |  Boy  .1322314  .0661157 |  | Girl   .2066116   .5950413 |   +----------------------------+ You hear that your roommate 'Angel' is cool. Knowing this, what is the probability that 'Angel' is a Girl?

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