1.Suppose two dice are tossed. For each die, it is equally likely that 1,2,3,4,5 or 6 dots will appear.

(a)What is the probability that the sum of numbers showing up on the pair of dice is 4 or 9? (10 points)

(b)What is the probability that the sum of numbers showing up on the pair of dice equals a number other than 5 or 10? (15 points)

(c)Are the events E1= first die shows a 4, and E2=sum of numbers showing up on the pair of dice is 7, independent events?