Activities

1. The probability of a certain result occurring when items are chosen randomly from a bag is 8 out of 12. What is this probability as a fraction, decimal and percent?

2. You are rolling a six-sided dice three times. What is the total number of possible outcomes (also called sample space)?

3. Audrey is determining the probability that she will have her favorite math teacher for her math class next year. Audrey finds that the probability is explain why you know that Audrey made a mistake.

4. There are 347 ways that an event can happen. If there are 121 ways that describe how it will not happen, what is the percent probability that it will occur?

5. If there is complete certainty that an event will happen, what is its probability, as a fraction?

6. What is the probability that you can flip three coins, and all three tosses land on heads?

7. John and Sam each roll one die. What is the probability that neither of the rolls landed on five?

8. There are three different colored marbles in a bag. Five are blue, three are green, and three are red. What is the probability, as a decimal that you choose a blue marble?

9. Allison is rolling two dice as part of a board game. It is to her benefit if she rolls doubles (two of the same number). What is the probability that when Allison rolls two dice the result will be doubles?

10. A certain NBA basketball player makes only 53% of his free throw attempts. If he will likely shoot 487 free throws next season, based on his probability, he will probably miss how many free throw shots?

11. A pair of students from a class of 11 boys and 15 girls is being randomly chosen to go on a field trip. What is the probability that the two students chosen will both be girls?

12. Teddy is at his favorite take out restaurant. He is going to order a sandwich with a double filling combination and the choices are between four types of meat, three types of cheese and five types of bread. How many combinations of sandwiches can Teddy choose from?

13. During a particularly cold part of February the chance for a snowstorm is 85% on Wednesday and 60% on Thursday. What is the probability that it will not snow either day?

14. The probability that a man will be alive in 25 years is 3/5, and that the wife will be alive in 25 years is 2/3. Determine the probability that in 25 years, at least one of the two will be alive.

15. Five family members are walking into a room in random order. Assuming that none of them are twins, what is the probability that they walk into the room from oldest to youngest?

16. When rolling a dice twice, how much greater is the probability that you will get a 1 or 2 each roll than the probability of getting a 1 and 2.

17. By choosing a number at random, what is the probability that you will get this question correct?

1. 20%
2. 25%
3. 25%
4. 

18. A friend is randomly pointing to a specific point in the square of side length 4, below. What is the probability that the point is in the shaded area?

19. If you flip a coin 10 times, what is the probability that the results alternate between heads and tails?

20. A computer generated random number is from one to five. What is the probability that the product of three of these numbers is 10?

21. An iPhone playlist has songs of various genres according to the table below. What is the probability that, of three random songs, the first two are country and the third is R&B? Once a song is played it will not be repeated until all other songs are played.

22. The probability of choosing an orange marble out of a bag is 5%. If there are 11 orange marbles in the bag, how many non-orange marbles are there?

23. A random number is chosen from one to fifty, inclusive of one and fifty. What is the probability that it is not prime and not even?

24. In a certain high school in Southern Pennsylvania there are 500 students. Traditionally 45% of the students in the high school have been boys, 20% have worn glasses, and 10% have their own cars. What is the probability that a random student is a girl who doesn’t have glasses and does not have her own car?

25. A ten-sided die is rolled three times. What is the probability that the first two rolls landed on a prime number or the third roll landed on an even number?

Answer Key/Rubric

1. %

2. 216

3. Probability can only be between 0 (not going to happen) and 1(certain to happen), is greater than one

4. 65.13%

5. or simply 1

10. 229 missed shots

12. 60 different sandwiches

13. 6%

17. b. 25%

22. 209

23. 22% (1, 9, 15, 21, 25, 27, 33, 35, 39, 45, 49)