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We present near-infrared and optical photometry, plus optical spectroscopy oftwo stripped-envelope supernovae (SNe) 2010O and 2010P that exploded in twodifferent components of an interacting luminous infrared galaxy Arp 299 withinonly a few days of one another. SN 2010O is found to be photometrically andspectroscopically similar to many normal Type Ib SNe and our multiwavelengthobservations of SN 2010P suggest it to be a Type IIb SN. No signs of clearhydrogen features or interaction with the circumstellar medium are evident inthe optical spectrum of SN 2010P. We derive estimates for the host galaxyline-of-sight extinctions for both SNe, based on both light-curve andspectroscopic comparison finding consistent results. These methods are alsofound to provide much more robust estimates of the SN host galaxy reddeningthan the commonly used empirical relations between extinction and equivalentwidth of Na I D absorption features. The SN observations also suggest thatdifferent extinction laws are present in different components of Arp 299. Forcompleteness, we study high-resolution pre-explosion images of Arp 299 and findboth SNe to be close to, but not coincident with, extended sources that arelikely massive clusters. A very simple model applied to the bolometric lightcurve of SN 2010O implies a rough estimate for the explosion parameters of$E_{\mathrm{k}} \approx 3 \times 10^{51}$ erg, $M_{\mathrm{ej}} \approx 2.9$M$_{\odot}$ and $M_{\mathrm{Ni}} \approx 0.16$ M$_{\odot}$.

The nature of supernovae 2010O and 2010P in Arp 299 - I. Near-infrared and optical evolution