Question

: A salesperson in the insurance department sells policies to six men, all of identical age. According to the actuarial tables the probability that a man of this particular age will be alive after a couple of decades is 2/3. Find the probability that no one will be alive after a couple of decades.

Answer 1

$$P(\text{no one will be alive})=(1-\dfrac{2}{3})^6$$

$$=\dfrac{1}{729}\approx0.00137$$