Grace is having trouble deciding what to order for dessert. The options are 4 different flavors of ice cream, 3 different flavors of cake, or 2 different flavors pie. If she were to choose one item at random, what is the probability that she will choose a cake?

Answer: The probability that she would choose cake is 0.33 (or 33%)

Step-by-step explanation: The number of all possible outcomes is given as follows;

4 (ice cream) + 3 (cake) + 2 (pie), that is 4 + 3 + 2 = 9

This means there is a possibility of 9 different outcomes if she decided to choose her dessert at random.

However, there are 3 flavors of cake available which means the possibility of choosing cake is 3.

Therefore the probability that she will choose a cake is give as,

P (Cake) = Number of required outcomes/Number of all possible outcomes

P (Cake) = 3/9

P (Cake) = 1/3 or 0.33

Therefore the probability that she would choose cake is 0.33 or 33%