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%
