Question
The numbered disks shown are placed in a box and one disk is selected at random. Find the probability of selecting a 4, given that a green disk is selected.
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Part 1
Find the probability of selecting a 4, given that a green disk is selected.
enter your response here (Type an integer or a simplified fraction.)
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Question content area top right
Part 1
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2
3
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5
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Question content area bottom
Part 1
Find the probability of selecting a 4, given that a green disk is selected.
enter your response here (Type an integer or a simplified fraction.)
Answers
GPT-4o mini
To determine the probability of selecting a 4 given that a green disk is selected, we need to know how many of the disks are green and how many of those green disks are numbered 4. However, as the colors of the disks are not provided in your question, I can only explain the method to find the solution.
The probability can be calculated using the formula for conditional probability:
\[
P(A|B) = \frac{P(A \cap B)}{P(B)}
\]
Where:
- \(P(A|B)\) is the probability of event A (selecting a 4) given event B (selecting a green disk).
- \(P(A \cap B)\) is the probability of both A and B occurring (selecting a green disk that is also numbered 4).
- \(P(B)\) is the probability of event B occurring (selecting any green disk).
You will need to provide how many green disks are present and which of them, if any, is numbered 4, in order to find the specific probabilities.
If you have this information, please share it so that I can assist you with the calculations!
The probability can be calculated using the formula for conditional probability:
\[
P(A|B) = \frac{P(A \cap B)}{P(B)}
\]
Where:
- \(P(A|B)\) is the probability of event A (selecting a 4) given event B (selecting a green disk).
- \(P(A \cap B)\) is the probability of both A and B occurring (selecting a green disk that is also numbered 4).
- \(P(B)\) is the probability of event B occurring (selecting any green disk).
You will need to provide how many green disks are present and which of them, if any, is numbered 4, in order to find the specific probabilities.
If you have this information, please share it so that I can assist you with the calculations!