Probability/Q

R1. Two dice are tossed. What is the probability of getting at least one "6"? 1       11        1         5 A. ---   B.    C. ---   D.     3        36        6        12 - 2. Two dice are thrown. Find the probability that the product of the numbers on the dice is even. 1       1        3 A. ---   B. ---   C. ---   D. 1 4       2        4 -

3. A coin is tossed three times. The table shows the payoff for the different cases. Find the expected value. A. $2.75  B. $3   C. $5.5   D. $12 -

4. Which of the following could be the probability of an event? 1                  2015        𝜋 A. - ---   B. 1.221   C. --   D. --- 6                  2016        2 -

5. A card is drawn at random from the above deck of 52 playing cards. The probability of getting a diamond or a King is ... (20 marks) 4       1        17        15 A.    B. ---   C.    D.     13        4        52        52 -

6a. A bag contains four balls, one is red (R) and the others are blue (B1, B2 and B3). In a game, 2 balls are drawn randomly from the bag at the same time. Find the probability that two blue balls are drawn. (Hint: You can construct a table or other tree diagram.) (20 marks)

6b. A bag contains four balls, one is red (R) and the others are blue (B1, B2 and B3). In a game, 2 balls are drawn randomly from the bag at the same time. If the colours of the two balls are different, the player will win $20. If two blue balls are drawn, the player will win $1. Find the expected value of the prize. (20 marks)