Question

section 5.4 homework
score: 1/14 answered: 1/14
question 2
use the following probabilities to answer the question. round to 4 decimal places.
$p(a)=0.71$, $p(b)=0.19$, $p(a \text{ and } b)=0.10$.
$p(b|a)=$

Explanation:

Step1: Recall conditional - probability formula

The formula for conditional probability is $P(B|A)=\frac{P(A\ and\ B)}{P(A)}$.

Step2: Substitute given values

We are given that $P(A) = 0.71$ and $P(A\ and\ B)=0.10$. Substituting these values into the formula, we get $P(B|A)=\frac{0.10}{0.71}$.

Step3: Calculate the result

$P(B|A)=\frac{0.10}{0.71}\approx0.1408$.

Answer:

$0.1408$