Question 3 10 pts Let A, B, and C be three events for a random experiment. Use set notation to express the following statement: Exactly one of the three events occur. O AB' C' + A'BC' + A'B'C O AB'C' O A'B'C O A'BC'Question 4 10 pts If a die is rolled one time, find these probabilities: (a) of getting a number greater than 3 or an odd number (b) of getting a number greater than 3 and an odd number O (a) 3/6 (b) 1/6 O (a) 5/6 (b) 1/6 O (a) 4/6 (b) 2/6 O (a) 5/6 (b) 2/6Question 5 10 pts If two dice are rolled one time, find the probability of getting these results: (a) a sum of 6. (b) Doubles. O (a) 1/6 (b) 2/9 O (a) 1/9 (b) 1/6 O (a) 5/36 (b) 1/6 O (a) 5/36 (b) 1/3Question 7 10 pts A couple has three children. Find the probabilities of (a) all boys (b) all girls or all boys (c) exactly two boys or two girls (d) at least one child of each gender O (a) 1/8 (b) 1/4 (c) 1/2 (d) 1/2 O (a) 1/8 (b) 1/2 (c) 3/4 (d) 3/4 O (a) 1/8 (b) 1/4 (c) 1/2 (d) 3/4 (a) 1/8 (b) 1/4 (c) 3/4 (d) 3/4Question 8 10 pts If one card is drawn from a standard deck of playing cards, find the probability of getting these results. (a) an ace (b) a diamond (c) a 4 or a club O (a) 1/13 (b) 1/4 (c) 4/13 O (a) 4/13 (b) 1/4 (c) 1/13 O (a) 1/13 (b) 1/4 (c) 3/13 O (a) 1/13 (b) 1/3 (c) 4/13Question 9 10 pts In a game of craps using two dice, a person wins on the first roll if a 7 or an 11 is rolled. Find the probability of winning on the first roll. O 1/9 O 2/9 O 1/3 O 4/9