David Barnes and his fiancée Valerie Shah are visiting Hawaii. There are 38 guests registered for orientation. It is announced that 20 randomly selected registered guests will receive a free lesson of the Tahitian dance.
a. What is the probability that both David and Valerie get picked for the Tahitian dance lesson?
b. What is the probability that neither of them gets picked for the Tahitian dance lesson? (Round your answer to 4 decimal places.).