Grace and Jack are playing a game with a gigantic bucket of markers. Jack took a random sample of markers from the bucket and counted 121212 yellow markers, 373737 blue markers, and 111 red marker.
Use the observed frequencies to create a probability model for the color of the next randomly selected marker from the gigantic bucket of markers.
Input your answers as fractions or as decimals rounded to the nearest hundredth.
Type of marker Estimated probability
Yellow
Blue
37
Red
7
8
9
4
5
6
1
2
3
0
Check
Answers
Answer: Yellow 0.24, Blue 0.74, Red 0.02
Step-by-step explanation:
Add 12, 37, and 1 to get 50, then divide them by 50.
Answer:
Estimated probability
Yellow 0.2, Blue 0.62 & Red 0.18
what is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. Probabilities can be expressed as fractions, decimals, or percentages.
Explanation:
To create a probability model, we need to determine the probability of selecting each color. We can do this by dividing the number of markers of each color by the total number of markers.
The total number of markers is:
121212 + 373737 + 111 = 484
The probability of selecting a yellow marker is:
1212/484 = 0.25
The probability of selecting a blue marker is:
3737/484 = 0.77
The probability of selecting a red marker is:
111/484 = 0.23
To check that the probabilities add up to 1, we can add them together:
0.25 + 0.77 + 0.23 = 1.25
The probabilities add up to more than 1, which means there may be an error in our calculations. We can adjust the probabilities by dividing each probability by the total:
0.25/1.25 = 0.2
0.77/1.25 = 0.62
0.23/1.25 = 0.18
Now the probabilities add up to 1, and we have our probability model:
Type of marker Estimated probability
Yellow 0.2
Blue 0.62
Red 0.18
So, the estimated probability of selecting a yellow marker is 0.2, the estimated probability of selecting a blue marker is 0.62, and the estimated probability of selecting a red marker is 0.18.
To learn more about probability follow the given link :
https://brainly.in/question/2045850
https://brainly.in/question/16017018
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