Probablities random variables density

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The probability that a radium atom doesn't disintegrate in $40$ seconds knowing that it didn't disintegrate in $12$ seconds is $0,4$. What is the probability of the atom not disintegrating in $70$ seconds if it didn't disintegrate in $12$ seconds?

I think I need to use density, but I don't know how I should use it. Is this an exponential distribution?