I need answ3rs for these questions in clear format.

The questions:

Knowledge: 1. Calculate the probability of each of the following events occurring (Express using a fraction, decimal and percent) : (0.5 marks each) Fraction | Decimal % Rolling an even number on a regular 6-sided die. Rolling a 2 or a 4 on a regular 6-sided die. Flipping a heart or a face card from a full deck of cards. Flipping a 4 of hearts or diamonds from a full deck of cards. 2. Two dice are rolled and the results added. b) What is the probability of rolling a sum greater than 6 7? (2 marks)Name: Date: Application: 1. A bag containing 5 blue smarties, 7 green smarties, 4 yellow smarties and 6 purple smarties. Which colour is most likely to be randomly pulled out of the bag? What is the theoretical probability of this happening? (3 marks) 2. A coin is tossed 3 times. a) Draw a tree diagram that illustrates all b) List all the possible outcomes. the possible outcomes. (2 marks) (2 marks) c) What is the probability that at least 2 d) What is the probability that 3 heads or 3 heads are tossed? (1 mark) tails are tossed? (1 mark)Name: Date: 3. Suppose you are a basketball coach. You must choose someone to shoot free throws to win the game. John has made 25 of his last 35 shots. Rahim has made 38 of his last 50 shots. Which player would you choose to make the free throws? Explain your choice. (4 marks) Communication: 1. Explain difference between theoretical probability and experimental probability? Include example in your answer. [4 marks]