Verified Solution • 2025–26 Session moderate

QJEEM19Ma2454: JEE Main 2019 Mathematics - Class 12 JEEM19Ma2454 Solution: A person throws two fair dice. He wins Rs. 15 for throwing a…

A person throws two fair dice. He wins Rs. 15 for throwing a doublet (same numbers on the two dice), wins Rs. 12 when the throw results in the sum of 9, and loses Rs. 6 for any other outcome on the throw. Then the expected gain/loss (in Rs.) of the person is :

Multiple Choice Options

  • A 14 loss
  • B 12 gain
  • C 12 loss
  • D 2 gain

Step-by-Step Verified Solution

When two dice are thrown then sample space will {(1, 1), (2, 2) ....... (6, 6)} contain total 36 elements number of cases.

Then the expectation will be 636×15×436×12−2636×6

90+48−15636=−12 = 12 loss

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