Question

A bakery offers white, chocolate, or yellow cakes with white or chocolate icing. There are also 24 designs that can be applied to a cake. If all orders are equally likely, what is the probability that a customer will order a white cake with white icing in a specific design?

A) 1/30
B) 1/64
C) 1/120
D) 1/144

Answer 1

1/144

Explanation:

3 Cake Flavors x 2 Cake Icings x 24 Designs =

3 x 2 x 24 =

6 x 24 =

144

Probability of choosing a white cake with a specific design = 1/144

Answer 2

Answer D

probability that a customer will order a white cake = 1/3

probability that a customer will order a cake with white icing = 1/2

probability that a customer will order a cake in a specific design = 1/24

combined probability that a customer will order a white cake with white icing in a specific design= 1/3 *1/2 * 1/24 = 1/144