1. The chance of a hurricane hitting during any year in the area Victor will move to is0.10.What is the probability Victor will have a hurricane five years in a row? Type Integer or Decimal.

2. A single die is rolled twice. Find the probability of rolling a 3 the first time and a 4 the second time. Type Simplified Fraction

3. A single die is rolled twice. Find the probability of rolling an odd number the first time and a number greater than 3 the second time. Type Simplified Fraction

4. You draw one card from a 52-card deck. Then the card is replaced in the deck and the deck is shuffled, and you draw again. Find the probability of drawing an ace the first time and a heart the second time. Type Simplified Fraction

5. You draw one card from a 52-card deck. Then the card is replaced in the deck and the deck is shuffled, and you draw again. Find the probability of drawing a queen each time. Type Simplified Fraction

6. You draw one card from a 52-card deck. Then the card is replaced in the deck, the deck is shuffled, and you draw again. Find the probability of drawing a red card the first time and a black card the second time. Simplified fraction

7. What is the probability of obtaining seven heads in a row when flipping a coin?

8. A coin is tossed and a die is rolled. Find the probability of getting a head and a number greater than 2.

9. The probability that a certain state will be hit by a major tornado (category F4 or F5) in any single year is 1/7. Complete parts (a) through (d) below.

a. What is the probability that the state will be hit by a major tornado two years in a row? b. What is the probability that the state will be hit by a major tornado in three consecutive years? c. What is the probability that the state will not be hit by a major tornado in the next ten years? d. What is the probability that the state will be hit by a major tornado at least once in the next ten years?

10. Elizabeth brought a box of donuts to share. There are two-dozen (24) donuts in the box, all identical in size, shape, and color. Three are jelly-filled, 7 are lemon-filled, and 14 are custard-filled. You randomly select one donut, eat it, and select another donut. Find the probability of selecting two lemon-filled donuts in a row.

11. Elizabeth brought a box of donuts to share. There are two-dozen (24) donuts in the box, all identical in size, shape, and color. Four are jelly-filled, 9 are lemon-filled, and 11 are custard-filled. You randomly select one donut, eat it, and select another donut. Find the probability of selecting a lemon-filled donut followed by a custard-filled donut.

12. Consider a political discussion group consisting of 7 Democrats, 4 Republicans, and 2 Independents. Suppose that two group members are randomly selected, insuccession, to attend a political convention. Find the probability of selecting two Democrats.

13. Consider a political discussion group consisting of 6 Democrats, 4 Republicans, and 3 Independents. Suppose that two group members are randomly selected, insuccession, to attend a political convention. Find the probability of selecting an Independent and then a Democrat.

14. Consider a political discussion group consisting of 9 Democrats, 9 Republicans, and 6 Independents. Suppose that two group members are randomly selected, insuccession, to attend a political convention. Find the probability of selecting no Independents.

15. An ice chest contains 8 cans of apple juice, 5 cans of grape juice, 5 cans of orange juice, and 4 cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting three cans of orange juice.

16. An ice chest contains 8 cans of apple juice, 5 cans of grape juice, 5 cans of orange juice, and 4 cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting three cans of orange juice.

17. An ice chest contains six cans of apple juice, eight cans of grape juice, four cans of orange juice, and two cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting a can of mango juice, then a can of apple juice, then a can of orange juice.

18. An ice chest contains four cans of apple juice, eight cans of grape juice, eight cans of orange juice, and four cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting no grape juice.

19. Two tiles are drawn in succession from Scrabble’s 100 tiles. Find the probability of selecting an M on the first draw and an N on the second draw.

20. Two tiles are drawn in succession from Scrabble’s 100 tiles. Find the probability of selecting a tile worth 4 points on the first draw and a tile worth 5 points on the second draw.

21. Three tiles are drawn in succession from Scrabble’s 100 tiles. Find the probability of selecting three I‘s in a row.

22. Three tiles are drawn in succession from Scrabble’s 100 tiles. Find the probability of selecting a letter worth 10 points on the first draw, 5 points on the second draw, and 2 points on the third draw.

23. If the probability of being hospitalized during a year is 0.15, find the probability that no one in a family of six will be hospitalized in a year. Round decimal to 5 decimal places.

24. If a single die is rolled eight times, what is the probability it lands on 2 on the first, second, third, fifth, and sixth rolls, but not on any of the other rolls?