“…When sensory inputs are uncertain, Bayesian theory shows that integration of sensory stimuli with prior knowledge of stimulus probability and action outcomes is essential to optimize behavior ( Dayan and Daw, 2008 ; Gold and Ding, 2013 ; Körding et al., 2004 ), as the prediction of serve placement (stimulus probability) and the success rate of forehands and backhands (action outcome) are the keys to returning the first serve. Previous studies have tested the integration of sensory inputs and prior knowledge with a sensory discrimination task by biasing the reward outcomes or stimulus probabilities in humans ( Maddox, 2002 ), monkeys ( Feng et al., 2009 ; Gold and Shadlen, 2007 ; Hanks et al., 2011 ; Nomoto et al., 2010 ; Platt and Glimcher, 1999 ; Teichert and Ferrera, 2010 ), pigeons ( McCarthy and Davison, 1979 ; Stüttgen et al., 2011 ), and rodents ( Aguillon-Rodriguez et al., 2021 ; Lak et al., 2020a ; Stoilova et al., 2020 ). In these studies, subjects tended to select choices associated with a large reward amount or high stimulus probability, indicating that animals integrate the sensory stimulus and the prior.…”