Does the following list represent a complete probability model? Explain.
P(red) = 1/6 , P(yellow) = 1/3 , P(blue) = 1/12 , and P(green) = 1/2
Answers:
A. No; the product of the probabilities is less than 1.
B. No; the sum of the probabilities is greater than 1.
C. Yes; the product of the probabilities is less than 1.
D. Yes; the sum of the probabilities is greater than 1.
Answers
Answer:
A option is the right answer for your question
Answer:
The correct option is (B) - No; the sum of the probabilities is greater than 1.
Step-by-step explanation:
To represent a complete probability model:
1. Each individual probability should be less than or equal to 1 and greater than or equal to 0. This is satisfied in the given question.
2. Sum of all the probabilities should be equal to 1.
To verify this condition, add all the given probabilities:
P(red) = 1/6
P(yellow) = 1/3
P(blue) = 1/12
P(green) = 1/2
Sum of all probabilities = P(red) + P(yellow) + P(blue) + P(green)
= 1/6 + 1/3 + 1/12 + 1/2
= 1/2 + 7/12
= 13/12
= 1.083
Here, the sum of given probabilities is greater than 1.
To represent a complete probability model, the sum of all probabilities should be equal to 1.
Therefore, as the sum of all probabilities is greater than 1 the given list does not represent a complete probability model.
To know more about probability, visit the below links:
https://brainly.in/question/17336996
https://brainly.in/question/317665
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