Question

use the following probabilities to answer the question. round to 4 decimal places. (p(a)=0.45), (p(b)=0.5), (p(a\text{ and }b)=0.05). (p(b|a)=square)

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 $P(A) = 0.45$ and $P(A\cap B)=0.05$. Substituting these values into the formula, we get $P(B|A)=\frac{0.05}{0.45}$.

Step3: Calculate the result

$\frac{0.05}{0.45}=\frac{5}{45}=\frac{1}{9}\approx0.1111$.

Answer:

$0.1111$