Question

given the following information:
p(a) = 0.44
p(b) = 0.22
p(a and b) = 0.16
p(b given a) = 0.2
what is the probability of a or b? round your answer to the nearest hundredth as needed.
p(a or b) =

Explanation:

Step1: Recall the formula for P(A or B)

$P(A\ or\ B)=P(A)+P(B)-P(A\ and\ B)$

Step2: Substitute the given values

$P(A) = 0.44$, $P(B)=0.22$, $P(A\ and\ B)=0.16$
$P(A\ or\ B)=0.44 + 0.22- 0.16$

Step3: Calculate the result

$P(A\ or\ B)=0.5$

Answer:

$0.50$