ExamBro
ExamBro
KCET · Maths · Probability

If \( P(A \cap B)=\frac{7}{10} \) and \( P(B)=\frac{17}{20} \), where \( P \) stands for probability then \( P(A \mid B) \) is equal to
O examsnet com

  1. A \( \frac{7}{8} \)
  2. B \( \frac{17}{20} \)
  3. C \( \frac{14}{17} \)
  4. D \( \frac{1}{8} \)
Verified Solution

Answer & Solution

Correct Answer

(C) \( \frac{14}{17} \)

Step-by-step Solution

Detailed explanation

Given that, \( P(A \cap B)=\frac{7}{10} \) and \( P(B)=\frac{17}{20} \)
We know that, \( P(A \mid B)=\frac{P(A \cap B)}{P(B)} \)
\( P(A \mid B)=\frac{\frac{7}{10}}{\frac{17}{20}}=\frac{14}{17} \)