use the following probabilities to answer the question. round to 4 decimal places.\n$p(a)=0.53, p(b)=0.42…
use the following probabilities to answer the question. round to 4 decimal places.\n$p(a)=0.53, p(b)=0.42, p(a \text{ and } b)=0.05$\n$p(b|a)=$
Answer
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 $P(A) = 0.53$ and $P(A\ and\ B)=0.05$. Substituting these values into the formula, we get $P(B|A)=\frac{0.05}{0.53}$.
Step3: Calculate the result
$P(B|A)=\frac{0.05}{0.53}\approx0.0943$
Answer:
$0.0943$