Question

use the information below to determine if events a and b are independent.

• (p(a)=\frac{5}{7})
• (p(a|b)=0.71)

independent
dependent

Explanation:

Step1: Convert fraction to decimal

$P(A)=\frac{5}{7}\approx0.714$

Step2: Compare probabilities

We know that for independent events $P(A)=P(A|B)$. Here $P(A)\approx0.714$ and $P(A|B) = 0.71$. Since $0.714
eq0.71$, the events are not equal in terms of probability conditions for independence.

Answer:

dependent