Do an experiment with two yellow cubes A red cube in a green cube. in the bag for you choose a cube you do not return the key before choosing the next cube choose three cubes all together to the experiment 20 times. what is the experimental probability of getting one cube of each colour
To calculate the experimental probability of getting one cube of each colour, we will need to keep track of the colours we choose for each trial. Here is an example of recording the colours for one trial:
Trial 1:
- First cube chosen: yellow
- Second cube chosen: red
- Third cube chosen: green
We can repeat this process for 19 more trials, recording the colours for each cube chosen. Once we have recorded all 60 cubes chosen (20 trials x 3 cubes per trial), we can count the number of times we chose one cube of each colour.
For example, let's say we recorded the following colours:
- Yellow, red, green
- Red, yellow, green
- Green, yellow, red
- Red, green, yellow
- Yellow, green, red
- Green, red, yellow
- Yellow, red, green
- Yellow, green, red
- Red, yellow, green
- Green, red, yellow
- Yellow, green, red
- Red, green, yellow
- Green, yellow, red
- Yellow, green, red
- Red, yellow, green
- Green, red, yellow
- Yellow, red, green
- Red, green, yellow
- Green, yellow, red
- Yellow, red, green
Out of these 20 trials, we have chosen one cube of each colour in 8 trials. Therefore, the experimental probability of getting one cube of each colour is:
P(one cube of each colour) = 8/20 = 0.4
So the experimental probability of getting one cube of each colour is 0.4, or 40%.
To calculate the experimental probability of getting one cube of each color, follow these steps:
Step 1: Determine the total number of possible outcomes.
In this case, we have two yellow cubes, one red cube, and one green cube. Therefore, the total number of possible outcomes is 4.
Step 2: Determine the number of successful outcomes.
To have one cube of each color, we need to choose one yellow cube, one red cube, and one green cube. There are 2 yellow cubes to choose from, 1 red cube, and 1 green cube. So, the number of successful outcomes is 2 * 1 * 1 = 2.
Step 3: Perform the experiment 20 times and count the number of times you get one cube of each color.
Let's say that after performing the experiment 20 times, you get one cube of each color 12 times.
Step 4: Calculate the experimental probability.
Experimental Probability = (Number of successful outcomes) / (Total number of possible outcomes)
Experimental Probability = 12 / 20
Experimental Probability = 0.6 or 60%
Therefore, the experimental probability of getting one cube of each color is 60%.
To determine the experimental probability of getting one cube of each color, we need to conduct the experiment 20 times and count the number of times we get one cube of each color.
Here's how you can conduct the experiment:
1. Prepare two yellow cubes, a red cube, and a green cube.
2. Place all four cubes in a bag.
3. Choose a cube from the bag without looking and record its color.
4. Do not put the chosen cube back into the bag.
5. Repeat steps 3 and 4 two more times, recording the color of each cube.
Repeat steps 3-5 a total of 20 times. After completing the experiment, count the number of times you selected one cube of each color.
Let's say you obtained one cube of each color in 6 out of the 20 experiments.
To calculate the experimental probability, divide the number of successful outcomes (6) by the total number of trials (20):
Experimental Probability = Number of successful outcomes / Total number of trials
= 6 / 20
= 0.3
The experimental probability of getting one cube of each color is 0.3, or 30%.