1. A die has six sides. If the die ix tossed twice, calculate the probability that: a. the sum of the dots on the two die is greater than 5. b. the sum of the dots on the two die is less than 8 and is even. c. each of the die shows 3 dots:

2. A five-card poker hand is dealt from a standard deck of cards. Find the probability that: a. The hand contains exactly 3 hearts and exactly 2 spades b. The hand contains 2 of one kind and 3 of another kind ("kind" means the face value of the card. e.g. "3" or "Q") c. The hand contains of at least

3 Kings. 3. A family of 6 is visiting a very large shopping mall. There are 14 exit doors on the first floor. Assuming the family members are equally likely to choose any of the exit doors, find the probability that: a. No two of the family members go out the same exit door. b. All the family members go out the same exit door.

4. There are 10 employees in your department, 6 of whom are web developers and 4 of whom are system administrators. a. You will randomly select 6 employees to participate in security certification training. Calculate the probability that an equal number of each type of employee will be selected for the security certification training. b. Calculate the probability that no systems administrators are selected to participate in the training. c. You need to select 2 out of the 10 employees to help you evaluate the training materials. Calculate the probability that Jhon is selected to evaluate the lab materials and bob is selected to evaluate