1.) According to the Almanac of Questionable Statistics, Vol 4 (2012), the probability of a mass squirrel uprising in any given year is 0.49 and the probability that cats and dogs will sign a peace treaty allowing them to live together peacefully in any given year is 0.25. If we presume that these two events are independent, what is the probability of both happening next year?
2.) Given P(A) = 0.22, P(B) = 0.23, P(A or B) = 0.39, what is P(A and B)?
3.) If the probability that an individual with a Bachelor Degree in Underwater Basket-weaving will be hired in their first 6 months out of college is 30%, what is the probability that an individual with a Bachelor Degree in Underwater Basket-weaving will not get hired in the first 6 months out of college?
4.) Given P(A) = 0.45, P(B) = 0.92, and P(B|A) = 0.34, what is P(A and B)?