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Question: Answered & Verified by Expert
2 dice are thrown. Suppose a random variable X is assigned a value 2k, if the sum on the dice is equal to k, then the expected value of X is
MathematicsProbabilityJEE Main
Options:
  • A 10
  • B 12
  • C 14
  • D 509
Solution:
2975 Upvotes Verified Answer
The correct answer is: 14
k 2 3 4 5 6 7 8 9 10 11 12
Pk 136 236 336 436 536 636 536 436 336 236 136

k= sum on dice
Expected value =136×4+236×6+336×8+436×10
+536×12+636×14+536×16+436×18
+336×20+236×22+136×24
=50436=14

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