**1. The problem statement, all variables and given/known data**

Knowing the decay constant ##\lambda## of a nucleus, find the probability of the decay of the nucleus during the time from 0 to ##t##.

**2. Relevant equations**

**3. The attempt at a solution**

I don’t know where to start from. I know that the decay is first order and the number of particles remaining at any time ##t## is given by ##N(t)=N_0e^{-\lambda t}## but I have no clue how to set up the equations for finding the probability. Please give a few hints to begin with.

Any help is appreciated. Thanks!

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