ExamBro
ExamBro
AP EAMCET · Maths · Probability

In a game, a person wins 5 rupees for getting a number greater than 4 and loses 1 rupee otherwise, when a fair die is thrown. A man participated in the game, but decided to quit as and when he gets a number greater than 4. Then the expected value (mean value) of the amount he wins/loses is

  1. A \(\frac{9}{19}\)
  2. B \(\frac{8}{19}\)
  3. C \(\frac{19}{9}\)
  4. D \(\frac{19}{8}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{19}{9}\)

Step-by-step Solution

Detailed explanation

In a game die is thrown. A man participated in the game, he decided to throw a die thrice but to quit as and when the amount he win/loses is The probability to win in a throw is \(\frac{2}{6}\) and loss a throw is \(\frac{4}{6}\). Now following cases are possible (i)…