Question

let a and b be two events with the following associated probabilities.

• p(a) = 0.9
• p(a and b) = 0.54

what is the conditional probability of b given a?
write your answer as a decimal. do not round.

Explanation:

Step1: Recuerda la fórmula de probabilidad condicional

La fórmula para la probabilidad condicional de $B$ dado $A$ es $P(B|A)=\frac{P(A\cap B)}{P(A)}$.

Step2: Sustituye los valores dados

Tenemos $P(A) = 0.9$ y $P(A\cap B)=0.54$. Sustituyendo en la fórmula: $P(B|A)=\frac{0.54}{0.9}$.

Step3: Realiza la división

$\frac{0.54}{0.9}=0.6$.

Answer:

$0.6$