1. You flip a coin 30 times and get heads 11 times, so the chance of getting heads is . Is this an example of theoretical or experimental probability? (1 point)theoretical

experimental

2. You have made 3 out of 10 of your last free throws. How many free throws can you expect to make if you shoot 100 free throws? (1 point)30
50
60
75

3. What is the probability that a month picked at random will have 31 days?
(1 point)

4. If you rolled a number cube 100 times, how many times would you expect to get an even number? (1 point)25
75
50
38

5. A bag holds 2 yellow, 1 green, and 2 red marbles. If you were to draw a marble from the bag 150 times, and replace it after each draw, how many yellow marbles would you expect to draw? (1 point)50
60
30
120

6. A bag has 6 green marbles, 4 red marbles, 5 yellow marbles, and 3 purple marbles. What is the probability of choosing a purple marble? (1 point)

7. You roll a pair of number cubes and then flip a coin. Is this an example of independent or dependent events? (1 point)independent
dependent

8. There are 5 different cookies in a bag. One of them is your favorite, chocolate chip. What is the probability that you will not get your favorite? (1 point)


9. A basket contains 5 green lollipops, 12 red lollipops, and 7 orange lollipops. When a lollipop is taken from the basket, it is not replaced. What is P(orange, then orange)? (1 point)

10. The letters in the word Paris are written on slips of paper and placed in a bag. Each letter will be put back after it is drawn. What is P(r, then vowel)? (1 point)

1. This is an example of experimental probability because it is based on the actual outcomes of flipping the coin.

2. You can expect to make 30 free throws if you shoot 100 free throws. (30)

3. The probability that a month picked at random will have 31 days is 1/12 or approximately 0.083.

4. If you rolled a number cube 100 times, you would expect to get an even number approximately 50 times.

5. If you draw a marble from the bag 150 times, and replace it after each draw, you would expect to draw approximately 60 yellow marbles.

6. The probability of choosing a purple marble from the bag is 3/18 or 1/6, which is approximately 0.167.

7. Rolling a pair of number cubes and flipping a coin are independent events because one does not affect the outcome of the other.

8. The probability of not getting your favorite cookie is 4/5 or 0.8.

9. The probability of taking an orange lollipop, not replacing it, and then taking another orange lollipop from the basket is (7/24) * (6/23) = 42/552 or approximately 0.076.

10. The probability of drawing the letter "r" and then drawing a vowel from the bag is (1/5) * (3/5) = 3/25 or approximately 0.12.

1. The first question asks whether the given scenario is an example of theoretical or experimental probability. Theoretical probability refers to the probability based on mathematical calculations and assumptions, while experimental probability is determined by actually conducting an experiment or gathering data. In this case, since you have actually performed an experiment by flipping the coin 30 times, the probability of getting heads 11 times is determined through experimentation. Therefore, the answer is experimental.

2. To determine how many free throws you can expect to make if you shoot 100 free throws, you can use the concept of probability. The probability of making a free throw is determined by the ratio of successful outcomes (made free throws) to the total number of possible outcomes (total free throws attempted). In this case, you have made 3 out of 10 free throws, which means your probability of making a free throw is 3/10. To find the expected number of successful outcomes when shooting 100 free throws, you can multiply the probability by the total number of attempts: (3/10) * 100 = 30. Therefore, you can expect to make 30 free throws.

3. The probability that a month picked at random will have 31 days can be determined by looking at the total number of months with 31 days (which is 7) out of the total number of months in a year (which is 12). Therefore, the probability is 7/12.

4. To determine the number of times you would expect to get an even number when rolling a number cube 100 times, you can use the concept of probability. A number cube has 6 faces, with 3 even numbers (2, 4, and 6) and 3 odd numbers (1, 3, and 5). Therefore, the probability of rolling an even number is 3/6 or 1/2. To find the expected number of successful outcomes when rolling the number cube 100 times, you can multiply the probability by the total number of attempts: (1/2) * 100 = 50. Therefore, you would expect to get an even number 50 times.

5. The probability of drawing a yellow marble can be determined by looking at the ratio of the number of yellow marbles in the bag (2) to the total number of marbles (2 yellow + 1 green + 2 red = 5). Therefore, the probability is 2/5. To find the expected number of yellow marbles when drawing from the bag 150 times, you can multiply the probability by the total number of attempts: (2/5) * 150 = 60. Therefore, you would expect to draw 60 yellow marbles.

6. The probability of choosing a purple marble can be determined by looking at the ratio of the number of purple marbles in the bag (3) to the total number of marbles (6 green + 4 red + 5 yellow + 3 purple = 18). Therefore, the probability is 3/18 or 1/6.

7. In order to determine whether the given scenario is an example of independent or dependent events, you need to understand the concept of independence. If the outcome of one event has no impact or influence on the outcome of the other event, then the events are considered independent. On the other hand, if the outcome of one event affects or influences the outcome of the other event, then the events are considered dependent. In this case, rolling a pair of number cubes and flipping a coin are two separate actions that do not affect each other. Therefore, the events are considered independent.

8. The probability of not getting your favorite cookie can be determined by looking at the ratio of the number of cookies that are not your favorite to the total number of cookies in the bag. If there are 5 different cookies in the bag and only 1 is your favorite, then the probability is 4/5.

9. To determine the probability of selecting two orange lollipops without replacement from the basket, you need to consider the number of orange lollipops and the total number of lollipops remaining after each selection. There are initially 7 orange lollipops out of a total of 24 lollipops. After the first orange lollipop is taken, there are 6 orange lollipops left out of 23 lollipops. Therefore, the probability of selecting an orange lollipop, then another orange lollipop is (7/24) * (6/23).

10. To find the probability of selecting the letter "r", then a vowel (a, e, i, o, or u) from the word "Paris", you need to consider the number of "r" letters and the number of vowels remaining after each selection. The word "Paris" has 1 "r" and 2 vowels (a and i). Since each letter is placed back into the bag after selection, the probability of selecting "r", then a vowel is (1/5) * (2/5).

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