Question 1: What does a probability value of 0.75 represent in terms of likelihood?

Answer: It indicates a high likelihood, 75% chance, that the event will happen.

Question 2: Calculate the probability scale value if an event has a 40% chance of occurring.

Answer: 0.40

Question 3: On a probability scale, what is the value for an impossible event?

Answer: 0

Question 4: Construct a probability scale segment showing values from 0 to 1, marking 0.25, 0.5, and 0.75.

Answer: Student draws a line from 0 to 1, marks points at 0.25, 0.5, 0.75, and labels them accordingly.

Question 5: Explain why a probability of 1 indicates certainty for an event.

Answer: Because probability 1 means the event will definitely occur, with no chance of it not happening.

Question 6: A spinner has 4 equal sectors numbered 1 to 4. What is the probability of spinning a number greater than 2? Express as a decimal.

Answer: 0.5

Question 7: In a game, the probability of winning is 0.2. What is the probability of losing? Show your working.

Answer: 1 - 0.2 = 0.8

Question 8: A quality control process states that the probability of a product being defective is 0.05. If 200 products are produced, how many are expected to be defective?

Answer: 200 × 0.05 = 10

Question 9: A biased coin has a probability of 0.6 landing on heads. If you flip the coin 10 times, what is the expected number of heads?

Answer: 10 × 0.6 = 6

Question 10: A student estimates the probability of rain tomorrow as 0.3. The actual probability was found to be 0.6. How does this discrepancy affect understanding of the probability scale? Explain.

Answer: The student underestimated the likelihood; understanding that probabilities can vary and are estimates helps in better assessing real-world chances.

Question 11: Identify the common mistake: The probability of an event is given as 1.2. Why is this incorrect, and how should it be corrected?

Answer: Probabilities cannot exceed 1; the value should be corrected to a number between 0 and 1, such as 1.