In the past, wearing white pants or dresses after Labour Day was considered a fashion

Fashion Statement

In the past, wearing white pants or dresses after Labour Day was considered a fashion faux-pas for women in America. For men, the debate centred on hats. In 1922, a riot broke out in New York City over whether it was acceptable to wear a straw hat after September 15. The table below shows the cost and country of manufacture for straw hats which make up the inventory at a local department store:

Germany Bulgaria China Less than $10 $ 10 - $20 Over $ 20 48

(a) What is the probability that a randomly selected straw hat

i. costs between $10 and $20?

ii. is made in Germany if it costed over $20?

iii. costs less that $10 given that it was not made in Bulgaria?

(b) Four hats are picked at random and with replacement. What is the probability that

i. all four are made in Bulgaria?

ii. all four cost between $10 - 20 and are German made?

iii. two of the four hats are made in China?