1) Draw a Venn diagram to assist in the proof.

2) Write out the probability distribution table:

Pr(X = 1) = k

Pr(X = 2) = 2k

Pr(X = 3) = 3k

.

.

.

Pr(X = 6) = 6k.

1 = k + 2k + 3k + .... + 6k => k =

Now that you know the probabilities you can answer the questions.

3) Start by drawing a tree diagram. Can you do this?