# Is $$_tq_{\overset2xy} {\overset?=}$$ $$_tq_{x\overset1y}$$

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Is  $$_tq_{\overset2xy} {\overset?=}$$   $$_tq_{x\overset1y}$$
$$_tq_{\overset2xy}$$ is the probability of x dying, conditional on y dying first.
$$_tq_{x\overset1y}$$ is the probability of y dying, conditional on y dying first.
These are two different probabilities as $$_tq_{x\overset1y}$$ includes the possibility that x is still alive, while both lives are dead in $$_tq_{\overset2xy}$$.