Math work

1. Two dice are thrown simultaneously. What is the probability the total is greater than 8? 2. Three coins are tossed. What is the probability that two heads turn up? 3. When tossing a die, what is the probability that the face showing is divisible by 3? 4. From five girls and seven boys, six are chosen. a. What is the probability that there is exactly one girl chosen? b. What is the probability that at least one girl is chosen? c. What is the probability that Harold and Judy are included? d. What is the probability that Harold and Judy are not included? e. What is the probability that Harold and Judy are not on the committee together? 5. What is the probability for the following: a. Drawing a red card from a pack of 52? b. Drawing a red face card from a pack of 52? c. Drawing 2 red face cards from a pack of 52? d. Throwing an odd number with a die? e. Throwing a zero with a die? f. Throwing a number less than or equal to 6 on a die? 6. 8 books are on a shelf. What is the probability that a. 'Ten little bears in a bed' is first? b. 'Ten little bears in a bed' is first and 'Five little ducks' is last? c. 'Ten little bears in a bed' and 'Five little ducks' are together? d. 'Ten little bears in a bed' and 'Five little ducks' are together at the front of the shelf? e. the books are in alphabetical order? 7. Two dice are thrown. What is the probability that the sum is either a nine or an even number? 8. A committee is to be made up to discuss education in today's technological age. The committee is to consist of 7 people chosen from 8 students, 10 teachers, and 10 business executives. What is the probability that: a. there is exactly one student on the committee b. there are no teachers on the committee c. there is at least one teacher on the committee 9. Five different cases are to go before the honourable Judge Judy. Find the probability that: a. the case of "Jim Bob Blueneck" will be called first. b. the case of "Jed's damaged Pickup" and "Your Cheatn' Heart" will be the first two cases called