A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with two hoses. LetXdenote the number of hoses being used on the self-service island at a particular time, and letYdenote the number of hoses on the full-service island in use at that time. The joint pmf ofXandYappears in the accompanying tabulation.

	y
p(x,y)		0	1	2
x	0	0.10	0.05	0.02
1	0.06	0.20	0.07
2	0.05	0.14	0.31

At least one hose is in use at both islands.

Compute the probability of this event. P(X0 andY0) =