The conditional probability of drawing a second green ball, given that the first ball is green is given by:
C. 11/24
What is Conditional Probability?
Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
- P(B|A) is the probability of event B happening, given that A happened.
- [tex]P(A \cap B)[/tex] is the probability of both A and B happening.
- P(A) is the probability of A happening.
In this problem, we have that the events are as follows:
- Event A: First ball is green.
- Event B: Second ball is green.
The given probabilities are as follows:
[tex]P(A \cap B) = \frac{11}{50}, P(A) = \frac{12}{25} = \frac{24}{50}[/tex]
Hence, the conditional probability is given by:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{11}{50}}{\frac{24}{50}} = \frac{11}{24}[/tex]
Hence option C is correct.
More can be learned about conditional probability at https://brainly.com/question/14398287
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