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Question: Answered & Verified by Expert
Three boxes are labeled as A, B and C and each box contains 5 balls numbered 1, 2, 3, 4 and 5. The balls in each box are well mixed and one ball is chosen at random from each of the 3 boxes. If α, β and γ are the number on the ball from the boxes A, B and C respectively, then the probability that α=β+γ is equal to
MathematicsProbabilityJEE Main
Options:
  • A 125
  • B 225
  • C 425
  • D 15
Solution:
1685 Upvotes Verified Answer
The correct answer is: 225

The total cases=53

α=β+γ

The possible cases are 2,1,1,3,1,2,3,2,1,4,1,34,3,1,4,2,2,5,3,25,2,3,5,4,15,1,4

So, the number of favourable cases =10 
Hence, the required probability =1053=225

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