Q. An insurance salesman sells policies to 5 men, all of identical age and in good health. The probability that a man of this particular age will be alive after 30 years is 2/3. The probability that after the lapse of 30 years all the five persons will be alive, is
A) $\frac{1}{16}$
B) $\frac{16}{81}$
C) $\frac{32}{243}$
D) None of these
Explanation
(c)
Probability that one person is alive $= \frac{2}{3}$
Probability that all five are alive $= \left( \frac{2}{3} \right)^{5} = \frac{32}{243}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.