I need help with all these questions in detail

Calgary Board 1 of Education CBe-Learn 10. State whether or not the following events are dependent or independent. Explain your reasoning. [2] a) A regular six-sided red die and a regular six-sided black die are rolled. The red die lands on 3 and the sum of the two dice is greater than 8. b) A heart is drawn from a standard deck of 52 playing cards. Another card is drawn from the deck without replacing the first card. 11. Explain whether the two events in the following experiments are mutually exclusive or not mutually exclusive. If it is not mutually exclusive, provide an example. [2] a) Experiment I involves rolling two fair dice. Event X is rolling a sum of 5. Event Y is rolling sum of 9. b) Experiment IV involves randomly selecting one number from 1 to 10 inclusive. Event X is selecting an odd number. Event Y is selecting a number that is composite. 12. Denis has 15 coins in his pocket, and 6 of them are toonies. He reaches into his pocket and pulls out a coin at random. Determine the probability of the coin not being a toonie. [1] Use the following information to answer the next question. In a children's game, a spinner with five sections numbered 1 to 5 is spun and then a regular six-sided die is rolled. 13. The probability of obtaining an odd number on both the spinner and the die is [1] 14. Teresa is about to draw a card at random from a standard deck of 52 playing cards. If she draws a red card or a face card, she will win a point. Determine the probability Teresa will win a point. [1] Use the following information to answer the next question. There are 10 black, 12 red, 14 yellow, 9 green, 8 orange, and 11 purple candies in a particular package of candy. 15. If one candy is randomly selected, then the probability, to the nearest hundredth, that it is a red candy or a black candy is [1] Use the following information to answer the next question. A child has a box containing 8 toys cars and 6 toy trucks. They reach in and randomly select 2 toys, one after the other, without replacement. 16. Determine the probability that the two toys selected are both toy cars. [1] Use the following information to answer the next question. A committee of 4 people is to be randomly selected from a group of 9 people, including Pedro. 17. The probability that Pedro is selected to be on the four-person committee [1]