Verified Solution • 2025–26 Session moderate

QJEEM20Ma69fe: JEE Main 2020 Mathematics - Class 12 JEEM20Ma69fe Solution: A dice is thrown two times and the sum of the scores appearing…

A dice is thrown two times and the sum of the scores appearing on the die is observed to be a multiple of 4. Then the conditional probability that the score 4 has appeared atleast once is :

Multiple Choice Options

  • A 18{1 \over 8}
  • B 19{1 \over 9}
  • C 14{1 \over 4}
  • D 13{1 \over 3}

Step-by-Step Verified Solution

Let A is the event for getting score a multiple of 4.

So, A = { (1, 3), (3, 1), (2, 2), (2, 6), (6, 2), (3, 5), (5, 3), (4, 4), (6, 6) } = 09

n(A) = 9

B : Score of 4 has appeared at least once.

B = {(4, 4)}

So, Required probability = 19{1 \over 9}

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