Question: As she is leaving her home for class, a student grabs two pieces of fruit at random from her fruit bowl to take with her for an afternoon snack. In the fruit bowl are two oranges and two apples. Let x be the number of apples that the student chooses.

a) Draw a tree diagram to describe the 12 simple events in the above situation, the possible event outcomes, and the probability of each possible event outcome occurring (three decimal places is sufficient).

b) Create a table to display the probability distribution for p(x).

c) Draw a probability histogram for p(x).

d) What is the probability that the student chooses one or more apples in her selection of 2 pieces of fruit?

e) What is the mean value of x? State in a sentence what this mean value implies.