Problem #PRU-65326

Problems Probability and statistics Probability theory Discrete distribution Discrete Mathematics Combinatorics Integer lattices Integer lattices (other)

Problem

In his laboratory, the Scattered Scientist created a unicellular organism, which, with a probability of 0.6 is divided into two of the same organisms, and with a probability of 0.4 dies without leaving any offspring. Find the probability that after a while the Scattered Scientist will not have any such organisms.