Question

chapter 3: 3.3 two basic rules of probability homework score: 8/14 answered: 4/8 question 5 use the following probabilities to answer the question. round to 4 decimal places. p(a)=0.27, p(b)=0.63, p(a and b)=0.10. p(b|a)=

Explanation:

Step1: Recall the formula for conditional probability

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

Step2: Substitute the given values

We are given that $P(A) = 0.27$ and $P(A\ and\ B)=0.10$. Substituting these values into the formula, we get $P(B|A)=\frac{0.10}{0.27}$.

Step3: Calculate the result

$P(B|A)=\frac{0.10}{0.27}\approx0.3704$

Answer:

$0.3704$