Question 1: Place the following events on the probability scale: a) Flipping a coin and getting heads, b) Rolling a die and getting a 7, c) Drawing a red card from a standard deck, d) Tossing a coin and getting tails.

Answer: {"a":"0.5","b":"0","c":"0.5","d":"0.5"}

Question 2: Calculate the probability of drawing an ace from a standard 52-card deck.

Answer: 4/52

Question 3: If the probability of rain tomorrow is 0.3, where is this event placed on the probability scale?

Answer: 0.3

Question 4: A student flips a coin 10 times. What is the probability of getting exactly 5 heads? (Use binomial probability formula)

Answer: 10C5 * (0.5)^5 * (0.5)^5

Question 5: Place the event 'Winning a lottery with a 1 in 1000 chance' on the probability scale.

Answer: 0.001

Question 6: A basketball player has a 0.8 chance of making a free throw. Where would this event be placed on the probability scale?

Answer: 0.8

Question 7: A bag contains 5 red balls and 3 blue balls. What is the probability of drawing a blue ball?

Answer: 3/8

Question 8: Explain why the probability of an impossible event is placed at 0, while a certain event is placed at 1.

Answer: Impossible events have zero chance of occurring, so placed at 0; certain events always happen, so placed at 1.

Question 9: A number cube is rolled. Place the event 'Rolling a prime number' on the probability scale and justify your placement.

Answer: The primes are 2, 3, 5; so probability = 3/6 = 0.5, placed at 0.5 on the scale.

Question 10: A survey shows that 70% of students like pizza. Plot this event on the probability scale and explain what it indicates about the likelihood.

Answer: At 0.7, indicating it is quite likely that a randomly chosen student likes pizza.

Question 11: A spinner has 8 equal sections numbered 1 to 8. Construct a diagram placing the event 'Landing on an even number' and explain its probability.

Answer: Even numbers are 2, 4, 6, 8; probability = 4/8 = 0.5, placed at 0.5.

Question 12: Identify and correct the mistake: 'The probability of flipping a coin and getting tails is 1.'

Answer: Incorrect, the probability is 0.5, since there is a 50% chance.