

InterviewSolution
Saved Bookmarks
1. |
A two-digit number is formed with digits 2,3,5,7,9 without repetition. What is the probability that the number formed is (1) an odd number? (2) a multiple of 5 ? |
Answer» Correct Answer - (1) `(4)/(5)` (2) `(1)/(5)` The sample space is `S={23,25,27,29,32,35,37,39,52,53,57,59,72,73,75,79,92,93,95,97)` `n(S)=20` (1) Let A be the event that two-digit odd numbers are formed. `Then,A={23,25,27,29,35,37,39,53,57,59,73,75,79,93,95,97)` `thereforen(A)=16` `P(A)=(n(A))/(n(S))=(16)/(20)=(4)/(5)` `thereforeP(A)=(4)/(5).` Let B be the event that the two- digit number is a multiple of five. Then, B={25,35,75,95} `thereforen(B)=4` `P(B)=(n(B))/(n(S))=(4)/(20)=(1)/(5)` `thereforeP(B)=(1)/(5).` |
|