Question

Suppose three red and one blue marbles are placed inside a container that is opaque (you can’t see into the container). If two marbles are selected at random without replacement answer the following questions:

a) How many possible samples of size 2 can you create?

b) List the set of all possible outcomes here (a tree structured diagram might prove helpful here):

c) List the outcomes that make up the following event: “a red and a blue marble are selected”. (note: the red marble does not have to be selected 1st)

d) Find the probability of the event you defined in part c). Use correct statistical notation in your solution.

Answer 1