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  .2322835  .3897638 |   |Girl  .2165354  .1614173 |   +----------------------------+ You hear that your roommate 'Morgan' is quite lame. Knowing this, what is the probability that 'Morgan' is a Boy?

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