1. Two standard dice are rolled. What is the probability that the total of the two dice is less than
6?
2. Two standard dice are rolled. What is the probability that a sum less than 8 is not rolled?
3. Participants in marathons are often given numbers to wear, SO that race officials can identify individual runners more easily. If the numbers are assigned randomly, what is the probability that the 6 fastest runners will finish in the order of their assigned numbers, assuming that there are no ties?
4. A club with 6 members from grade 11 and 7 members from grade 12 is to elect a president, vice-president, and secretary. What is the probability that grade 12 students will be elected for all three positions, assuming that all club members have an equal chance of being elected? Give your answer as a percent, rounded to one decimal place.
5. A 4-member curling team is randomly chosen from 6 grade-11 students and 8 grade-12 students. What is the probability that the team has at least 1 is a grade-11 student? 10. If a CD player iS programmed to play the CD tracks in random order, what is the probability that it will play 5 songs from a CD in order from your favourite to your least favourite?
6. What percent of the time will at least two people in a class of 23 students have the same birthday? Assume that no one in the class was born on February 29.
