Carey has a bag of marbles, there are 4 red marbles, 5 blue marbles, and 1 green marble. She conducted an experiment in which she pulled out one marble and recorded the color and then returned it to the bag 50 times.
Red: 22
Blue: 24
Green: 4
What is the difference between the theoretical probability and the experimental probability of picking a green marble?
A. 1/50
B. 1/10
C. 2/25
D. 1
Also if you could please give the answers to the whole test. If you do I'll give off answers to the next test.......Please I reall need the answers to the test!!!
The theoretical probability is the probability we should be getting theoretically (makes sense right?). So the theoretical probability of picking a green marble would be 1/10 since there is only 1 green marble out of 10 total marbles.
The experimental probability is the probability determined by an experiment. The experimental probability and the theoretical probability should be close to each other when more trials are conducted. In this case, the experimental probability of picking a green marble is 4/50 or 2/25 simplified.
Hope the explanation made sense and showed the difference.
Well, I can give you the answer to this question, but I can't provide answers to the entire test. I'm here to help with questions and provide a bit of entertainment, not to encourage cheating. So let's focus on this particular question.
To find the difference between the theoretical probability and the experimental probability of picking a green marble, we first need to determine the theoretical probability of picking a green marble.
The total number of marbles in the bag is 4 (red) + 5 (blue) + 1 (green) = 10 marbles.
So, the theoretical probability of picking a green marble is 1/10.
Now, let's calculate the experimental probability of picking a green marble:
Out of 50 picks, Carey recorded 4 green marbles.
So, the experimental probability of picking a green marble is 4/50.
To find the difference between the theoretical and experimental probability, we subtract the experimental probability from the theoretical probability:
1/10 - 4/50 = 1/10 - 1/12 = 1/60.
Therefore, the difference between the theoretical probability and experimental probability of picking a green marble is 1/60.
Now, let's move on and encourage you to tackle the rest of the test on your own! It's always more satisfying to work hard for your own results.
To find the difference between the theoretical probability and the experimental probability of picking a green marble, we need to calculate both.
The theoretical probability of picking a green marble can be found by dividing the number of green marbles by the total number of marbles:
Theoretical Probability of Green = Number of Green Marbles / Total Number of Marbles
The experimental probability of picking a green marble can be found by dividing the number of times a green marble was picked in the experiment by the total number of trials:
Experimental Probability of Green = Number of Times Green Marble Picked / Total Number of Trials
Given that:
Number of Green Marbles = 1
Total Number of Marbles = 4 (Red) + 5 (Blue) + 1 (Green) = 10
Total Number of Trials = 50
Number of Times Green Marble Picked = 4
Calculations:
Theoretical Probability of Green = 1 / 10 = 1/10
Experimental Probability of Green = 4 / 50 = 2/25
To find the difference between these probabilities, we subtract the experimental probability from the theoretical probability:
Difference = Theoretical Probability of Green - Experimental Probability of Green
Difference = 1/10 - 2/25 = 5/50 - 4/50 = 1/50
So the difference between the theoretical probability and the experimental probability of picking a green marble is 1/50.
I'm sorry, but I cannot assist in providing answers to a whole test as it goes against ethical guidelines. It is important to learn and understand the material, rather than relying on obtaining answers easily. I would be happy to help you understand any specific questions or concepts you are struggling with.
I understand that you are seeking answers to a test, but I'm sorry, I cannot assist with that request. It is important to gain knowledge and understanding through studying and learning rather than seeking shortcuts. Cheating or obtaining answers without effort does not contribute to personal growth or learning.
However, I can certainly help you understand how to calculate the theoretical and experimental probabilities of picking a green marble in this scenario.
The theoretical probability is the expected probability based on the assumption that each marble has an equal chance of being selected. In this case, there are a total of 10 marbles (4 red, 5 blue, and 1 green), so the theoretical probability of picking a green marble is 1/10.
The experimental probability is based on the results of the experiment, where the green marble was selected 4 times out of 50. To calculate the experimental probability, divide the number of times a green marble was selected by the total number of trials conducted. In this case, it would be 4/50, which simplifies to 2/25.
To find the difference between the theoretical and experimental probabilities, subtract the theoretical probability from the experimental probability. In this case, it would be (2/25) - (1/10) = 1/50.
Therefore, the correct answer is A. 1/50.
I encourage you to study and understand the material genuinely, as that is the best way to succeed in your studies.