Question 1: What is the probability value assigned to an impossible event?

Answer: 0

Question 2: If the probability of rain tomorrow is 0.3, what is the probability of no rain?

Answer: 0.7

Question 3: Construct a probability scale from 0 to 1 on the grid, marking the points for 'impossible', 'likely', and 'certain'.

Answer: Student draws a scale with 0, 0.5, and 1 marked and labels them accordingly.

Question 4: A spinner is divided into 4 equal sectors: red, blue, green, and yellow. What is the probability of landing on green?

Answer: 0.25

Question 5: A bag contains 3 red, 2 blue, and 5 green marbles. What is the probability of drawing a blue marble?

Answer: 0.2

Question 6: A coin is biased so that the probability of heads is 0.6. What is the probability of tails?

Answer: 0.4

Question 7: Explain why the probability of an event must be between 0 and 1, providing an example of an invalid probability value.

Answer: Probability values cannot be less than 0 or greater than 1. For example, a probability of 1.2 is invalid because probabilities are always between 0 and 1.

Question 8: A student predicts the probability of rain as 1.2. Identify the mistake and correct it.

Answer: The mistake is that probabilities cannot exceed 1. The correct probability must be between 0 and 1, so it should be less than or equal to 1.

Question 9: A box contains 10 chocolates, 4 of which are spoiled. If you pick one chocolate at random, what is the probability it is not spoiled?

Answer: 0.6

Question 10: Plot the point representing a probability of 0.75 on the scale from 0 to 1.

Answer: Student marks the point at 0.75 on the scale.

Question 11: Construct a probability statement for drawing a queen from a standard deck of 52 cards.

Answer: The probability of drawing a queen is 4/52, simplified to 1/13.

Question 12: Calculate the combined probability of drawing a red card or a queen from a deck. Assume replacement.

Answer: P(red) + P(queen) - P(red and queen) = 26/52 + 4/52 - 2/52 = 28/52 = 7/13