If PA- 713- PB- 913 and PA- B- 413- then the value of PA-B is-

Name: JEE- Grade 12- Mathematics- Probability- Session 04- W02
Uploaded: 2022-07-04T10:36:42+05:30
Description: We know, P(A/B) = P(A∩ B)P(B) = 4/13/9/13= 49 nbsp; ...

We know, P(A/B) = P(A∩ B)P(B) = 4/13/9/13= 49 nbsp; ...

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Standard VII

Mathematics

Multiplication and Division of Rational Numbers

If PA= 713, P...

Question

If $P (A) = \frac{7}{13}, P (B) = \frac{9}{13}$ and $P (A \cap B) = \frac{4}{13}$ , then the value of $P (A / B)$ is:

\frac{4}{13}

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\frac{4}{9}

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\frac{7}{9}

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\frac{4}{7}

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Solution

The correct option is B $\frac{4}{9}$
We know, $P (A / B) = \frac{P (A \cap B)}{P (B)} = \frac{\frac{4}{13}}{\frac{9}{13}} = \frac{4}{9}$

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Similar questions

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P (A) = \frac{7}{13}, P (B) = \frac{9}{13}

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Multiplication and Division of Rational Numbers

Standard VII Mathematics

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If P(A)=713,P(B)=913 and P(A∩B)=413, then the value of P(A/B) is:

The correct option is B 49We know, P(A/B)=P(A∩B)P(B)=413913=49

If $P (A) = \frac{7}{13}, P (B) = \frac{9}{13}$ and $P (A \cap B) = \frac{4}{13}$ , then the value of $P (A / B)$ is:

The correct option is B $\frac{4}{9}$
We know, $P (A / B) = \frac{P (A \cap B)}{P (B)} = \frac{\frac{4}{13}}{\frac{9}{13}} = \frac{4}{9}$