Question 1: Place the following events on the probability scale from 0 to 1: (a) Flipping a coin and getting heads. (b) Rolling a die and getting a 6. (c) Drawing a card from a standard deck and getting an Ace.

Answer: ["0.5","1/6","1/13"]

Question 2: Calculate the probability of drawing a red card from a standard deck. Show your work.

Answer: 26/52 = 1/2

Question 3: A bag contains 3 blue, 5 green, and 2 yellow marbles. What is the probability of randomly selecting a green marble? Place the event on the probability scale.

Answer: 5/10 = 0.5

Question 4: In a game, the probability of winning is 0.75. Is this event more likely than not? Explain your reasoning.

Answer: Yes, because 0.75 is greater than 0.5, indicating it is more likely than not.

Question 5: A spinner is divided into 8 equal sectors, 3 are red, and 5 are blue. Place the probability of landing on a red sector on the scale.

Answer: 3/8 = 0.375

Question 6: Construct a diagram on the grid to represent the probability of drawing a yellow marble from a bag containing 4 yellow, 6 red, and 10 green marbles.

Answer: 4/20 = 1/5

Question 7: If the probability of an event is 0.2, what is the probability that the event does NOT occur? Show your calculation.

Answer: 1 - 0.2 = 0.8

Question 8: A box has 15 candies: 9 are chocolate, and 6 are caramel. If a candy is selected at random, place the probability of choosing a caramel on the scale and explain.

Answer: 6/15 = 0.4, which is less than 0.5, so less likely than not.

Question 9: A die is rolled twice. What is the probability of getting a 6 on both rolls? Show your working.

Answer: (1/6) * (1/6) = 1/36

Question 10: Identify the mistake in this reasoning: 'Since the probability of rain tomorrow is 0.3, it is unlikely to rain.'

Answer: The statement confuses probability with likelihood; 0.3 indicates it is somewhat unlikely, but not impossible.

Question 11: A card is drawn from a deck. If the event 'drawing a king' is placed on the scale at 4/52, what is the probability of NOT drawing a king? Show your work.

Answer: 1 - 4/52 = 48/52 = 12/13

Question 12: Challenge: A game has a 0.6 chance of winning. If the game is played twice, what is the probability of winning at least once? Show your working.

Answer: 1 - (1 - 0.6)^2 = 1 - 0.16 = 0.84