JEE Main Solved Paper 2017 Question 28
Question: If two different numbers are taken from the set {0, 1, 2, 3, ……., 10), then the probability that their sum as well as absolute difference are both multiple of 4, is :- [JEE Main Solved Paper-2017]
Options:
A) $ \frac{7}{55} $
B) $ \frac{6}{55} $
C) $ \frac{12}{55} $
D) $ \frac{14}{45} $
Show Answer
Answer:
Correct Answer: B
Solution:
- Let $ A\equiv {0,1,2,3,4……,10} $ $ n(s)={{,}^{11}}C _2 $ (where ‘S’ denotes sample space) Let E be the given event
$ \therefore $ $ E\equiv {(0,4)(0,8),(2,6),(2,10),(4,8),(6,10)} $ $ n(E)=6 $
$ \therefore $ $ P(E)=\frac{6}{55} $
