Score: 0 of 1 point Find $$ P(A \mid B) $$ where $$ P(B)=\frac{19}{20} $$ and $$ P(A, A N D B)=\frac{1}{10} $$ A $$ \frac{2}{19} $$ O $$ \begin{array}{l} ext { B } \frac{1}{10} \ ext { C } 0 \ ext { O } \frac{1}{9}\end{array} $$

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Score: 0 of 1 point Find $$ P(A \mid B) $$ where $$ P(B)=\frac{19}{20} $$ and $$ P(A, A N D B)=\frac{1}{10} $$ A $$ \frac{2}{19} $$ O $$ \begin{array}{l}	ext { B } \frac{1}{10} \ 	ext { C } 0 \ 	ext { O } \frac{1}{9}\end{array} $$

UpStudy AI · Accepted Answer

To find $$ P(A \mid B) $$, we use the definition of conditional probability:

$$
P(A \mid B) = \frac{P(A \text{ and } B)}{P(B)}
$$

Given:
- $$ P(B) = \frac{19}{20} $$
- $$ P(A \text{ and } B) = \frac{1}{10} $$

Plugging in the values:

$$
P(A \mid B) = \frac{\frac{1}{10}}{\frac{19}{20}} = \frac{1}{10} \times \frac{20}{19} = \frac{2}{19}
$$

**Answer:** $$ \frac{2}{19} $$
$$ P(A \mid B) = \frac{2}{19} $$, choice A.

Score: 0 of 1 point Find \( P(A \mid B) \) where \( P(B)=\frac{19}{20} \) and \( P(A, A N D B)=\frac{1}{10} \) A \( \frac{2}{19} \) O \( \begin{array}{l}\text { B } \frac{1}{10} \\ \text { C } 0 \\ \text { O } \frac{1}{9}\end{array} \)

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