1. AFM chapter 13 Permutation, combinations, probability and odds
Probability review
AFM chapter 13
Permutation, combinations, probability and odds

2. permutation
A group of 15 people need to form a line. The line will consist of exactly 7 of the people. Person X and Person Y have to be either third or fourth in line. How many different orders are possible?

3. Compare permutation and combination
How many more ways can 20 juniors running for the positions of president, vice president, secretary, and treasurer be selected when compared to 16 sophomores running for 4 identical positions of class representative?

4. How many
A starting line for a hockey team should consist of 3 offensive players, 2 defensive players, and 1 goaltender. A coach has 14 offensive players, 8 defensive players, and 3 goaltenders from which to choose the starting line. How many unique starting lines can the coach create?

5. Inclusive probability
The probability that it will rain on Saturday is . The probability that the temperature on Saturday will reach lOO°F is The probability that it will rain and reach lOO°F on Saturday is . What is the probability it will rain or reach lOO°F on Saturday?

6. Binomial probability
A manufacturing plant produces a special kind of lightbulb. Each lightbulb produced has a probability of being defective.
Four lightbulbs are chosen at random from the production line.
To the nearest thousandth, what is the probability that exactly two of the four bulbs will be defective?

7. Binomial probability
Sue took an 10-question multiple-choice quiz. Suppose that her probability of correctly answering any question is What is Sue's probability of incorrectly answering exactly two questions on the quiz?

8. Basic probability
If the probability of giving birth to a boy is 0.48, what is the approximate probability of giving birth to three consecutive boys?

9. Probability and odds with combination
consider a bucket that contains 6 red marbles and 9 blue marbles. Two marbles are drawn at random.
What is the probability of drawing 2 red marbles?
What are the odds of drawing 1 red and 1 blue marble?

10. probability and odds
The probability of getting a king when a card is drawn from a standard deck of cards is 1 in 13. What are the odds of getting a king when a card is drawn?

11. Probability and odds
The odds that Bob will attend a movie this weekend are What is the probability that Bob will attend a movie this weekend?

12. Probability with cards
Using a standard deck of playing cards, find the probability of selecting a jack and then selecting a spade once the jack has been returned to the deck.

13. Probability with combination
Two ribbons are selected at random from a container holding 7 purple and 10 white ribbons. Find the probability that both ribbons are white.

14. Inclusive orExclusive probability
A number cube is tossed. What is the probability that the number cube shows a 2 or a number less than 4?

15. Inclusive probability
A school survey shows that 30% of students like rock music, 40% of students like rap, and 20% of students like both rock and rap.
What is the probability that a student likes either rock or rap music?

16. Binomial probability
Three out of every 10 houses in a neighborhood have a front porch. (in other words, 0.3 have a front porch or 30% of the houses)
Expressed as a decimal to the nearest hundredth, what is the probability that exactly 2 out of 6 houses on a given block have a front porch?

17. Pascal’s triangle or combination
What is the middle term for the expansion of ?