Problem 8 (10 points): Imagine 100 people at a party, and you tally how many wear pink or not, and if a man or not, and get these numbers: Pink notPink Man 5 35 notMan 20 40 After the party, you found that 45 beer bottles are not thrown into the trash. Statistics show that only in 37.6% of cases do women forget to throw beer bottles in the trash. What is the probability that, out of the 45 bottles 30 bottles were contributed by a man