Solve the following:
Q: A major hat store chain is having a sale on three nationally known brands, A, B and C. Probabilities that Brand A, Brand B or Brand C will not be big sellers are: 0.30, 0.40, and 0.50, respectively. All three brands are manufactured by three independent companies. Calculate the probability that:
a. None of the brands will be big sellers,
b. Exactly two brands will be big sellers,
c. Exactly one brand will be a big seller,
d. All three brands will be big sellers.