It is known that there is a $20\%$ chance that the vehicle in front of your car is

a truck. There are two independent object recognition machine learning algorithms,

A and B$.$ Their accuracies are $96\%$ and $97\%,$ while their false positives are $3\%$ and

$2\%,$ respectively. Now, the two algorithms say the vehicle in front of your car is a

truck. What is the probability that the vehicle in front of your car is a truck?

Accuracy: rate of saying Truck when the vehicle is actually a truck.