1. If the letters in the word: ARREARS are mixed, what is the probability that by arranging the letters randomly in order the word arrears is spelled?

2. Chipotle is hiring for four different positions. If there were 43 applications submitted to Chipotle, how many different combinations of people to hire are possible?

3. A batch of 350 raffle tickets contains four winning tickets. You buy four tickets. What is the probability that you have:

a. No winning tickets?

b. All of the winning tickets?

c. At least one winning ticket?

5. Of all students who first enrolled at Reynolds in the fall of 2015, 6.7% of them have graduated with a degree. If you randomly selected 7 Reynold's students who first enrolled in the fall of 2015, what is the probability that none of them have graduated?

6. In the 1980s the Bureau of Justice Statistics tried to quantify the "lifetime likelihood of victimization" of several crime categories. In one of these categories the Bureau reported that 20% of Americans could expect to have their car stolen in their lifetime. Using this statistic, what is the probability that more than half of the students in this class (there are 20 students in the class) could expect to have their car stolen in their lifetime?