Q. Fifteen coupons are numbered 1 to 15. Seven coupons are selected at random, one at a time with replacement. The probability that the largest number appearing on a selected coupon be 9, is
A) $\left( \frac{1}{15} \right)^{7}$
B) $\left( \frac{8}{18} \right)^{7}$
C) $\left( \frac{3}{5} \right)^{7}$
D) None of these
Explanation
(c)
Probability of each case $= \frac{9}{15} = \frac{3}{5}$
Required probability (with replacement)$= \left( \frac{3}{5} \right)^{7}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.