Show that the probability that two lives, one aged 30 and the other aged 40, will die

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Show that the probability that two lives, one aged 30 and the other aged 40, will die at the same age last birthday is equal to 10/?30(l+^40:40) " 2 •

1 l/'SoCl +^40:41 ) + 04o)(l l/'SoX 1+^4 1:41 )•

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