Construct a probability distribution for rolling a single die. From the distribution you have worked out do the following:

(a) Draw a diagram to represent the probability distribution.

(b)Find the probability of observing a 1, 2, or 5 (ie P(x = 1, 2, or 5).

(c)Find the probability of observing a 2, 4, or 5 (ie P(x = 2, 4, or 5)

(d)Find the probability of observing a number less than or equal to 3. (ie. P(x 3)