Verified Solution • 2025–26 Session moderate

QJEEM19Ma1742: JEE Main 2019 Mathematics - Class 12 JEEM19Ma1742 Solution: Two integers are selected at random from the set {1, 2, ....,…

Two integers are selected at random from the set {1, 2, ...., 11}. Given that the sum of selected numbers is even, the conditional probability that both the numbers are even is :

Multiple Choice Options

  • A 25{2 \over 5}
  • B 12{1 \over 2}
  • C 710{7 \over 10}
  • D 35{3 \over 5}

Step-by-Step Verified Solution

Since sum of two numbers is even so either both are odd or both are even. Hence number of elements in reduced samples space = 5C2 + 6C2

So, required probability = 5C25C2+6C2{{{}^5{C_2}} \over {{}^5{C_2} + {}^6{C_2}}} = 25{2 \over 5}

Related Learning Resources & Exam Preparation

JEE Main PYQ Question Bank
Browse year-wise authentic previous years' questions with solutions
Authentic CBT Mock Tests
Simulate official exam environment with live timer and percentile scoring