  The probability for quantum creation of an inflationary universe with a pair
of black holes in 1/R - gravitational theory has been studied. Considering a
gravitational action which includes a cosmological constant ($\Lambda$) in
addition to $ \delta R^{- 1} $ term, the probability has been evaluated in a
semiclassical approximation with Hartle-Hawking boundary condition. We obtain
instanton solutions determined by the parameters $\delta$ and $\Lambda$
satisfying the constraint $ \delta \leq \frac{4 \Lambda^{2}}{3}$. However, we
note that two different classes of instanton solutions exists in the region $0
< \delta < \frac{4 \Lambda^{2}}{3}$. The probabilities of creation of such
configurations are evaluated. It is found that the probability of creation of a
universe with a pair of black holes is strongly suppressed with a positive
cosmological constant except in one case when $0 < \delta < \Lambda^{2}$. It is
also found that gravitational instanton solution is permitted even with
$\Lambda = 0$ but one has to consider $\delta < 0$. However, in the later case
a universe with a pair of black holes is less probable.
