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!