Question

determine the conditional - probability. write the answer as a fraction or decimal.
given (p(a)=0.25), (p(b)=0.3), and (p(acap b)=0.1), determine (p(b|a)).
enter the answer in the space provided. use numbers instead of words.
(p(b|a)=)

Explanation:

Step1: Recall conditional - probability formula

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

Step2: Substitute given values

We are given that $P(A) = 0.25$, $P(B)=0.3$, and $P(A\cap B)=0.1$. Substituting these values into the formula, we get $P(B|A)=\frac{0.1}{0.25}$.

Step3: Simplify the fraction

$\frac{0.1}{0.25}=\frac{10}{25}=\frac{2}{5}=0.4$.

Answer:

$0.4$