Question 1: A dice is rolled five times.
(i) What is the probability that it shows 3 even numbers?
(ii) What is the probability of getting exactly 2 sixes in a row and no other sixes?
(iii) What is the probability of not getting two consecutive ones?
Question 2: In a game of cards a hand of six cards is dealt.
(i) Find the probability of all the cards being the same suit.
(ii) What is the probability of getting exactly three Aces and exactly three Kings together in a hand?
(iii) What is the probability of all four suits occurring at least once in the hand?
Question 3:
(i) A dice is rolled five times. Let x be the number of rolls that are a six. Write up a table displaying the possible values of x and the corresponding probabilities, (i.e., draw up the table for the P.M.F, p(x))
(ii) Draw up the corresponding table for C.D.F. (If you want you can draw the graph)