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For Emanuel - 1....

For Emanuel -

1. Susan must wear one of 5 blouses and one of 4 skirts. How many different possible outfits consisting of 1 blouse and 1 skirt does she have?

2. How many ways can the letters in the word country be arranged?

3. How many 3-letter codes can be formed from the letters in the word picture if letters cannot be repeated?

4. A class consisting of 24 people must select 3 people among them to serve on a committee. How many different variations are there?

5. How many 5-digit ZIP codes are possible if the first number cannot be 0?

6. How many ways can the letters in the word stereo be arranged?

7. Given 10 different stones, how many ways can all of the stones be arranged in a circle?

8. Find the number of possible arrangements for 6 chairs around a circular table with 1 chair nearest the door.

For exercises 9 and 10, consider a bucket that contains 4 red marbles and 5 blue marbles. Two marbles are drawn at random.

9. What is the probability of drawing 2 red marbles?

10. What are the odds of drawing 1 red and 1 blue marble?

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

12. The odds that Lee will attend a movie this weekend are . What is the probability that Lee will attend a movie this weekend?

13. Using a standard deck of playing cards, find the probability of selecting a king and then selecting a heart once the king has been returned to the deck.

14. Two ribbons are selected at random from a container holding 5 purple and 6 white ribbons. Find the probability that both ribbons are white.

15. A school survey shows that 40% of students like rock music, 20% of students like rap, and 10% of students like both rock and rap. What is the probability that a student likes either rock or rap music?

16. Two coins are tossed. Find the probability that both coins turn up heads if the first coin turns up heads.

17. Given the integers 1 through 14, what is the probability that one of these integers is divisible by 3 if it is less than 10?

18. Four coins are tossed. What is the probability of getting 3 heads and 1 tail?

19. Two out of every 10 houses in a neighborhood have a front porch. 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?

20. How many ways can 5 cups and 5 glasses be arranged on a shelf if all of the glasses must be kept together?

Fill-in-the-blank

21. How many ways can the letters in the word capitol be arranged if the first letter must be p?

22. On a long city block, 4-digit house numbers must begin with the digit 4 and end with either 0 or 1. How many different variations of house numbers are possible?

23. How many ways can 9 numbers be arranged on a small rotating wheel relative to a fixed point?

24. Consider a basket that contains 15 slips of paper numbered from 1 to 15. Two slips of paper are drawn at random. What is the probability of drawing 2 even numbers?

25. The probability of rolling a sum of 4 when two number cubes are tossed is 1 in 12. What are the odds of rolling a sum of 4 when two number cubes are tossed?

26. The odds that it will rain in the city of Houston tomorrow are . What is the probability of rain in Houston tomorrow?

27. A number cube is tossed. What is the probability that the number cube shows a 1 or a number greater than 4?

28. A school survey shows that 10% of students are in band, 12% of students are in athletics, and 6% of students are in both band and athletics. What is the probability that a student is in band or athletics?

29. A survey shows that 20% of all cars are white. What is the probability that exactly 3 of the next 4 cars to pass will be white?

30. Eight out of every 10 houses have a garage. Express as a decimal to the nearest hundredth the probability that exactly 9 out of 12 houses on a given block have a garage.

1. Susan must wear one of 5 blouses and one of 4 skirts. How many different possible outfits consisting of 1 blouse and 1 skirt does she have?

2. How many ways can the letters in the word country be arranged?

3. How many 3-letter codes can be formed from the letters in the word picture if letters cannot be repeated?

4. A class consisting of 24 people must select 3 people among them to serve on a committee. How many different variations are there?

5. How many 5-digit ZIP codes are possible if the first number cannot be 0?

6. How many ways can the letters in the word stereo be arranged?

7. Given 10 different stones, how many ways can all of the stones be arranged in a circle?

8. Find the number of possible arrangements for 6 chairs around a circular table with 1 chair nearest the door.

For exercises 9 and 10, consider a bucket that contains 4 red marbles and 5 blue marbles. Two marbles are drawn at random.

9. What is the probability of drawing 2 red marbles?

10. What are the odds of drawing 1 red and 1 blue marble?

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

12. The odds that Lee will attend a movie this weekend are . What is the probability that Lee will attend a movie this weekend?

13. Using a standard deck of playing cards, find the probability of selecting a king and then selecting a heart once the king has been returned to the deck.

14. Two ribbons are selected at random from a container holding 5 purple and 6 white ribbons. Find the probability that both ribbons are white.

15. A school survey shows that 40% of students like rock music, 20% of students like rap, and 10% of students like both rock and rap. What is the probability that a student likes either rock or rap music?

16. Two coins are tossed. Find the probability that both coins turn up heads if the first coin turns up heads.

17. Given the integers 1 through 14, what is the probability that one of these integers is divisible by 3 if it is less than 10?

18. Four coins are tossed. What is the probability of getting 3 heads and 1 tail?

19. Two out of every 10 houses in a neighborhood have a front porch. 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?

20. How many ways can 5 cups and 5 glasses be arranged on a shelf if all of the glasses must be kept together?

Fill-in-the-blank

21. How many ways can the letters in the word capitol be arranged if the first letter must be p?

22. On a long city block, 4-digit house numbers must begin with the digit 4 and end with either 0 or 1. How many different variations of house numbers are possible?

23. How many ways can 9 numbers be arranged on a small rotating wheel relative to a fixed point?

24. Consider a basket that contains 15 slips of paper numbered from 1 to 15. Two slips of paper are drawn at random. What is the probability of drawing 2 even numbers?

25. The probability of rolling a sum of 4 when two number cubes are tossed is 1 in 12. What are the odds of rolling a sum of 4 when two number cubes are tossed?

26. The odds that it will rain in the city of Houston tomorrow are . What is the probability of rain in Houston tomorrow?

27. A number cube is tossed. What is the probability that the number cube shows a 1 or a number greater than 4?

28. A school survey shows that 10% of students are in band, 12% of students are in athletics, and 6% of students are in both band and athletics. What is the probability that a student is in band or athletics?

29. A survey shows that 20% of all cars are white. What is the probability that exactly 3 of the next 4 cars to pass will be white?

30. Eight out of every 10 houses have a garage. Express as a decimal to the nearest hundredth the probability that exactly 9 out of 12 houses on a given block have a garage.

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