A sample contains a large number of nuclei. The probability that a nucleus in the sample will decay after four half-lives is a b where a and b are least positive integers. Value of a + b will be

Step-by-step solution

The probability that a nucleus will not decay is- N N 0 = 1 2 n = q When n is the number of half-lives q = 1 2 4 = 1 16 The probability that a nucleus will decay is p = 1 - q = 1 - 1 16 = 15 16