1. An apartment building has the following apartments:
1 bedroom 2 bedroom 3 bedroom
1st floor 3 1 1
2nd floor 1 3 2
3rd floor 1 4 1
If an apartment is selected at random, what is the probability that it is on the 2nd floor or has 3 bedrooms?
2. An apartment building has the following apartments:
1 bedroom 2 bedroom 3 bedroom
1st floor 3 0 1
2nd floor 1 3 2
3rd floor 1 4 1
If an apartment is selected at random, what is the probability that it is not a 2 bedroom apartment on the 2nd floor?
3. There are 30 blue balls, 45 red balls, and 20 white balls in a bag of balls. What is the conditional probability of choosing a blue ball, given that a white ball was not chosen?
4. A bookcase contains 3 statistics books and 4 biology books. If 2 books are chosen at random, the chance that both are statistics books is
5. A student and a professor each choose a number between 1 and 5 (1 and 5 are both possible choices). What is the probability that the two choose the same number?
6. A store manager wants to display 6 different brands of toothpaste in a row. How many ways can this be done?
7. A single card is drawn from a deck. Find the probability of selecting a heart or a 5.
8. According to popular belief, 80% of adults enjoy drinking beer. Choose a group of 4 adults at random. What is the probability that none of them enjoy drinking beer?
9. In a second grade class containing 13 girls and 7 boys, 2 students are selected at random to give out the math papers. What is the probability that both are girls?
10. If the probability that it will rain tomorrow is 0.33, then what is the probability that it will not rain tomorrow?