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Radial velocity (RV) surveys have detected hundreds of exoplanets throughtheir gravitational interactions with their host stars. Some will betransiting, but most lack sufficient follow-up observations to confidentlydetect (or rule out) transits. We use published stellar, orbital, and planetaryparameters to estimate the transit probabilities for nearly all exoplanets thathave been discovered via the RV method. From these probabilities, we predictthat $25.5^{+0.7}_{-0.7}$ of the known RV exoplanets should transit their hoststars. This prediction is more than double the amount of RV exoplanets that arecurrently known to transit. The Transiting Exoplanet Survey Satellite (TESS)presents a valuable opportunity to explore the transiting nature of many of theknown RV exoplanet systems. Based on the anticipated pointing of TESS duringits two-year primary mission, we identify the known RV exoplanets that it willobserve and predict that $11.7^{+0.3}_{-0.3}$ of them will have transitsdetected by TESS. However, we only expect the discovery of transits for $\sim$3of these exoplanets to be novel (i.e., not previously known). We predict thatthe TESS photometry will yield dispositive null results for the transits of$\sim$125 RV exoplanets. This will represent a substantial increase in theeffort to refine ephemerides of known RV exoplanets. We demonstrate that theseresults are robust to changes in the ecliptic longitudes of future TESSobserving sectors. Finally, we consider how several potential TESS extendedmission scenarios affect the number of transiting RV exoplanets we expect TESSto observe.

Predicted Yield of Transits of Known Radial Velocity Exoplanets from the TESS Primary and Extended Missions