Question 1: Place the following events on the probability scale from 0 to 1: 'A fair coin lands heads', 'A biased coin lands heads with probability 0.7', 'A die roll results in an even number'.

Answer: Event 1: 0.5, Event 2: 0.7, Event 3: 0.5

Question 2: Calculate the probability of an event that is twice as likely as an event with probability 0.3.

Answer: 0.6

Question 3: A spinner has 4 equal sectors numbered 1 to 4. Place the event 'Landing on an even number' on the probability scale.

Answer: 0.5

Question 4: Construct a diagram on the grid to show an event with probability 0.25.

Answer: Student draws a quarter-filled section of the grid.

Question 5: If an event has a probability of 0.8, is it more or less likely than an event with probability 0.6? Explain your reasoning.

Answer: More likely because 0.8 > 0.6.

Question 6: A card is drawn from a well-shuffled standard deck. Place the event 'Drawing a king' on the probability scale.

Answer: 0.077

Question 7: A biased die is loaded so that the number 6 has a probability of 0.2. Place this event and the event 'Rolling an even number' on the scale and compare.

Answer: 6: 0.2, Even (2,4,6): 0.5; 0.2 is less than 0.5

Question 8: A factory produces 10% defective items. Place the event 'Item is defective' on the probability scale.

Answer: 0.1

Question 9: A student guesses randomly on a multiple-choice question with 4 options. Place the event 'Student guesses correctly' on the scale.

Answer: 0.25

Question 10: A biased coin lands heads with probability 0.4. If the coin is flipped twice, what is the probability that it lands heads exactly once? Place this on the probability scale.

Answer: 0.48

Question 11: Identify and correct the mistake in this reasoning: 'Since the probability of rain today is 0.2, it is unlikely to rain tomorrow, so the probability of rain tomorrow is less than 0.2.'

Answer: Incorrect; probability of rain tomorrow is independent and can be different.