EXAMPLE 4.14

Find more probabilities for Benford’s law. Check that the probability of the event C that a first digit is odd is

P(C) = P(1) + P(3) + P(5) + P(7) + P(9) = 0.609

The probability

P(B or C) = P(1) + P(3) + P(5) + P(7) + P(8) + P(9) = 0.660

is not the sum of P(B) and P(C) because events B and C are not disjoint. Outcomes 7 and 9 are common to both events.