Question 1: Calculate the probability of rolling an even number on a fair six-sided die.

Answer: 1/2

Question 2: What is the probability of rolling a number greater than 4?

Answer: 1/3

Question 3: If you roll a die twice, what is the probability that both rolls are the same number?

Answer: 1/6

Question 4: Construct a diagram on the grid to show all possible outcomes when rolling two dice and record the probability of rolling a total of 7.

Answer: 6/36 or 1/6

Question 5: A die is rolled twice. What is the probability that the sum of the two numbers is 9?

Answer: 1/9

Question 6: A die is rolled. What is the probability of NOT rolling a 1?

Answer: 5/6

Question 7: You roll a die 60 times. How many times would you expect to get a 3?

Answer: 10

Question 8: A fair six-sided die is rolled three times. Find the probability that exactly two of the rolls are a 5.

Answer: Substituting values: (3C2) * (1/6)^2 * (5/6) = 3 * 1/36 * 5/6 = 15/216 = 5/72

Question 9: A standard die is rolled. If you repeat the roll, what is the probability that the first roll was odd and the second was even?

Answer: Probability = (1/2) * (1/2) = 1/4

Question 10: A die is rolled twice. If the first roll is a 4, what is the probability that the total of both rolls is 8?

Answer: The second roll must be 4, so probability = 1/6

Question 11: Identify and correct the mistake in this statement: 'The probability of rolling a 3 or a 4 on a die is 2/6.'

Answer: Correct answer: The probability is 2/6, which simplifies to 1/3. The statement is correct, but students should note the simplification.