JEE Mains · Maths · STD 11 - 14. probability
In a game, a man wins \(Rs.\,100\) if he gets \(5\) or \(6\) on a throw of a fair die and loses \(Rs.\,50\) for getting any other number on the die. If he decides to throw the die either till he gets a five or a six or to a maximum of three throws, then his expected gain/loss (in rupees) is
- A \(\frac{{400}}{9}\,loss\)
- B \(0\)
- C \(\frac{{400}}{3}\,gain\)
- D \(\frac{{400}}{3}\,loss\)
Answer & Solution
Correct Answer
(B) \(0\)
Step-by-step Solution
Detailed explanation
Let \(w\) denotes probability that outcome \(5\) or \(6\left(w=\frac{2}{6}=\frac{1}{3}\right)\) Let, \(L\) denotes probability that outcome \(1,2,3,4\left(L=\frac{4}{6}=\frac{2}{3}\right)\) Expected Gain/Loss…
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