Posterior probability of a vendor given a long lifetime

An institute purchases laptops from either vendor $V_1$ or vendor $V_2$ with equal probability. The lifetimes (in years) of laptops from vendor $V_1$ have a $U(0,4)$ distribution, and the lifetimes (in years) of laptops from vendor $V_2$ have an $Exp(1/2)$ distribution. If a randomly selected laptop in the institute has lifetime more than two years, then the probability that it was supplied by vendor $V_2$ is