Question

In a game, a man wins \( ₹1000 \) if he gets an even number greater than or equal to 4 on a fair dice and loses \( ₹200 \) for getting any other number on the dice. If he decides to throw the dice until he wins or maximum of three times, then his expected gain/loss in \( ₹ \) is -----------

• A. \( \frac{2200}{9} \) loss
• B. \( \frac{3800}{9} \) gain
• C. \( \frac{2200}{9} \) gain
• D. \( \frac{3800}{9} \) loss

Hint:

In expected value questions, list every possible stopping case with its probability and corresponding gain or lossThen multiply and add.

Answer 1

The Correct Option is B