At a casino, there are two kinds of slot machines: ones with a
white panda sticker and ones with black panda stickers. Eve rigged
some of the machines to have an increased chance of winning: 5% is
normal and 40% is rigged. You only know that there are 50-50 odds
that either white panda or black panda are rigged or not.
Alice put her money into the white panda machine and the machine
says "Sorry, you lose." What is the probability that the white
panda machines are rigged? What if you put your money into the same
machine and you also lost. What's the probability now?
At a casino, there are two kinds of slot machines: ones with a white panda sticker...
You go to a casino with 200 slot machines, and in 100 of them players win 20% of the time, while in the other 100 of them players win 40% of the time.Suppose you choose one slot machine at random and play 10 times, winning exactly 4 of them. What is the probability that you were playing in a machine where players win 40% of the time?