Question 1: A bag contains 3 red and 2 blue balls. If two balls are drawn at random without replacement, draw a grid to show all possible outcomes. How many outcomes are there in total?

Answer: 10

Question 2: Using a 4x4 grid, represent the sample space for rolling a four-sided die twice. How many equally likely outcomes are there?

Answer: 16

Question 3: Construct a grid diagram to show all possible outcomes when flipping two coins. How many outcomes show exactly one head?

Answer: 2

Question 4: Plot the graph of y=2x for x = 1 to 5 on the grid. Label the points clearly.

Answer: Points (1,2), (2,4), (3,6), (4,8), (5,10)

Question 5: Draw a grid to list all outcomes where a die shows a number less than 3 and a coin shows tails. How many such outcomes are there?

Answer: 2

Question 6: A box contains 5 green and 3 yellow balls. Two are drawn at random with replacement. Draw the grid diagram of all possible outcomes and find the probability of drawing two yellow balls.

Answer: Probability = (3/8) * (3/8) = 9/64

Question 7: A spinner is divided into 4 equal sectors numbered 1 to 4. Construct a grid for the outcomes when spinning twice. What is the probability of getting a total score of 5?

Answer: 2/16 or 1/8

Question 8: Identify and correct the mistake: A student claims that when drawing a grid for two random draws from a deck, they only need to list 26 outcomes. Explain the mistake and the correct total outcomes.

Answer: They are confusing outcomes for cards; total outcomes are 52 x 52 = 2704.

Question 9: Using a grid, list all outcomes where a basketball player makes either 0 or 1 free throw in two attempts. How many such outcomes are there?

Answer: 3

Question 10: A survey shows 60% prefer tea and 40% prefer coffee. Draw a grid to show the possible preferences of two people. What is the probability that both prefer tea?

Answer: 0.6 * 0.6 = 0.36

Question 11: Challenge: Construct a comprehensive grid to represent all outcomes when rolling two six-sided dice and selecting a number less than 4 on each die. How many outcomes satisfy this condition?

Answer: 3 x 3 = 9