Let A and B be events such that Pr[A]=0.37, Pr[B]=0.62, and Pr[A N B]=0.11. Find Pr[A|B].

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Let A and B be events such that Pr[A]=0.37, Pr[B]=0.62, and Pr[A N B]=0.11. Find Pr[A|B].

**FA20: Finite Mathematics: 23329**

**Homework: 4.2 MLM HW**

**Score: 0 of 1 pt**

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**Instructor-created question**

Let A and B be events such that Pr[A] = 0.37, Pr[B] = 0.62, and Pr[A ∩ B] = 0.11. Find Pr[A|B].

Pr[A|B] = [ ]

Enter your answer in the answer box and then click Check Answer.

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**Instructions:**

To find the conditional probability Pr[A|B], use the formula for conditional probability:

\[ \text{Pr}[A|B] = \frac{\text{Pr}[A \cap B]}{\text{Pr}[B]} \]

Substitute the given values into the formula:

- Pr[A ∩ B] = 0.11
- Pr[B] = 0.62

\[ \text{Pr}[A|B] = \frac{0.11}{0.62} \]

Calculate the result to find Pr[A|B]. Enter your answer in the box provided and click "Check Answer."

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Transcribed Image Text:**FA20: Finite Mathematics: 23329** **Homework: 4.2 MLM HW** **Score: 0 of 1 pt** --- **Instructor-created question** Let A and B be events such that Pr[A] = 0.37, Pr[B] = 0.62, and Pr[A ∩ B] = 0.11. Find Pr[A|B]. Pr[A|B] = [ ] Enter your answer in the answer box and then click Check Answer. --- **Instructions:** To find the conditional probability Pr[A|B], use the formula for conditional probability: \[ \text{Pr}[A|B] = \frac{\text{Pr}[A \cap B]}{\text{Pr}[B]} \] Substitute the given values into the formula: - Pr[A ∩ B] = 0.11 - Pr[B] = 0.62 \[ \text{Pr}[A|B] = \frac{0.11}{0.62} \] Calculate the result to find Pr[A|B]. Enter your answer in the box provided and click "Check Answer." --- All parts showing.
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