1. You flip a coin 30 times and get heads 11 times, so what's chance of getting heads is 11/30. Is this an example of theoretical of experimental probability?
A. Theoretical
B. 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?
A. 30
B. 50
C. 60
D. 75
3. What is the probability that a month picked at random will have 31 days?
A. 5/12
B. 4/12
C. 7/12
D. 8/12
4. If you rolled a number cube 100 times, How many times would you expect to get an even number?
A. 25
B. 75
C. 50
D. 38
5.A bag holds 2 yellow, 1 green, and 2 red marbles. If you were to draw a marble from the bag 15o0 times, and replace it after each draw, how many yellow marbles would you expect to draw?
A. 50
B. 60
C. 30
D. 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?
A. 1/6
B. 6/18
C. 3/20
D. 1/9
7. You roll a pair of number cubes and then flip a coin. Is this an example of independent or dependent events?
A. Independent
B. 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?
A. 1/5
B. 2/5
C. 24/25
D. 4/5
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)?
A.42/576
B. 42/552
C. 7/24
D. 14/48
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?
A. 1/5
B. 2/5
C. 3/5
D. 2/25
1. Experimental
2. 30
3. 7/12
4. 50
5. 50
6. 1/18
7. Dependent
8. 4/5
9. 42/552
10. 2/5
1. This is an example of experimental probability, as the probability is based on the results of an actual experiment (flipping a coin 30 times).
2. To find the expected number of free throws you can make, you can multiply the probability of making one free throw by the total number of free throws attempted. In this case, the probability of making a free throw is 3/10 (3 out of 10), so you can expect to make (3/10) * 100 = 30 free throws.
3. The probability that a month picked at random will have 31 days is A. 5/12, as there are 5 months (January, March, May, July, October) out of 12 that have 31 days.
4. To determine the expected number of times an even number will be rolled on a number cube, you can multiply the probability of rolling an even number (which is 1/2, as there are 3 even numbers out of 6 possible outcomes) by the total number of times the number cube is rolled (which is 100). So, the expected number of times an even number will be rolled is (1/2) * 100 = 50.
5. If you draw a marble from the bag 1500 times and replace it after each draw, the probability of drawing a yellow marble is 2/5 (since there are 2 yellow marbles out of a total of 5 marbles). So, the expected number of yellow marbles you would draw is (2/5) * 1500 = 600.
6. The probability of choosing a purple marble is D. 1/9, as there are 3 purple marbles out of a total of 6 + 4 + 5 + 3 = 18 marbles.
7. This is an example of independent events. Rolling a pair of number cubes and flipping a coin are separate events, so the outcome of one event does not affect the outcome of the other event.
8. If there are 5 different cookies in the bag and one of them is your favorite, the probability of not getting your favorite cookie is 4 out of 5, which can be written as 4/5.
9. Since the lollipop is not replaced after it is taken from the basket, the probability of picking an orange lollipop first is 7/24. Then, since the lollipop is not replaced, the probability of picking another orange lollipop is 6/23. The probability of the sequence "Orange, then orange" is (7/24) * (6/23) = 42/552.
10. The word "Paris" has 5 letters, with 2 vowels (i and a). If each letter is put back after it is drawn, the probability of drawing an "r" first is 1/5, and the probability of drawing a vowel (either "i" or "a") next is 2/5. So, the probability of the sequence "r, then vowel" is (1/5) * (2/5) = 2/25. The answer is D.